Atkin-Lehner |
2+ 3- 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
70350bc |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19564416 |
Modular degree for the optimal curve |
Δ |
-2.812659381389E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 -3 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-113921846,474909104528] |
[a1,a2,a3,a4,a6] |
Generators |
[126317324:76561235157:343] |
Generators of the group modulo torsion |
j |
-6540406463693419827409424065/112506375255561617017128 |
j-invariant |
L |
4.3757500754115 |
L(r)(E,1)/r! |
Ω |
0.080695964339854 |
Real period |
R |
13.556285345891 |
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 |
70350co1 |
Quadratic twists by: 5 |