Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850bb |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
74649600 |
Modular degree for the optimal curve |
Δ |
-6.772086715438E+27 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ 1 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2626709950,-51968428068500] |
[a1,a2,a3,a4,a6] |
Generators |
[7501127749012075541599217000531342034104260109756791333857461:4231768528643082104219163028898976432928056822198209907092180249:22915478402036480764070830221504499726707912328722221999] |
Generators of the group modulo torsion |
j |
-43612581618346739773945/147358175518034712 |
j-invariant |
L |
3.7626445037629 |
L(r)(E,1)/r! |
Ω |
0.010542137424248 |
Real period |
R |
89.228691306673 |
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 |
80850ft1 11550bg1 |
Quadratic twists by: 5 -7 |