Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
63525bo |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
3252480 |
Modular degree for the optimal curve |
Δ |
4153300450742953125 = 311 · 56 · 7 · 118 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ 11- 6 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2118508,1182079894] |
[a1,a2,a3,a4,a6] |
Generators |
[524:-14702:1] |
Generators of the group modulo torsion |
j |
313944395776/1240029 |
j-invariant |
L |
3.9853598928292 |
L(r)(E,1)/r! |
Ω |
0.2477975235847 |
Real period |
R |
0.48736758882304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001249 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2541h1 63525bw1 |
Quadratic twists by: 5 -11 |