Atkin-Lehner |
5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
98315g |
Isogeny class |
Conductor |
98315 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
69552 |
Modular degree for the optimal curve |
Δ |
10753203125 = 57 · 72 · 532 |
Discriminant |
Eigenvalues |
0 -2 5- 7+ -4 -2 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-565,1181] |
[a1,a2,a3,a4,a6] |
Generators |
[45:262:1] [-17:78:1] |
Generators of the group modulo torsion |
j |
7113539584/3828125 |
j-invariant |
L |
6.0499058684354 |
L(r)(E,1)/r! |
Ω |
1.1194317940444 |
Real period |
R |
0.38603167765365 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996738 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98315b1 |
Quadratic twists by: 53 |