Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790ev |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
6080 |
Product of Tamagawa factors cp |
deg |
294174720 |
Modular degree for the optimal curve |
Δ |
1.930738520075E+30 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14816190353,690926314055681] |
[a1,a2,a3,a4,a6] |
Generators |
[17175:21003892:1] |
Generators of the group modulo torsion |
j |
4193895363953824558241038009/22511668914990297907200 |
j-invariant |
L |
9.431421704913 |
L(r)(E,1)/r! |
Ω |
0.026428715749447 |
Real period |
R |
0.23477806342798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968686 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27930by1 11970ca1 |
Quadratic twists by: -3 -7 |