Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790cd |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5705441280 |
Modular degree for the optimal curve |
Δ |
-3.9302163877434E+39 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 1 -1 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-83951659584,3016257764661022720] |
[a1,a2,a3,a4,a6] |
Generators |
[-20357539798086528221689171802273373708589085281622333949912825622347320371999614366697791381053195276331288850638103143236963:188104350728090465368658438657195580312809674709548426726169670742725496890893432856150725480525958585121201101490956028470172951:108139567761845102982250899910345700447221626035941827235932052932097491568580780796540028196289444745266757317279116753] |
Generators of the group modulo torsion |
j |
-762949514912708039797646866801/45824812197620141357267649822720 |
j-invariant |
L |
5.3398664865817 |
L(r)(E,1)/r! |
Ω |
0.0035139947930129 |
Real period |
R |
189.94999996867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27930cc1 11970o1 |
Quadratic twists by: -3 -7 |