Atkin-Lehner |
2- 3- 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
36270bv |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
15252480921600 = 212 · 37 · 52 · 133 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-957947,-360638229] |
[a1,a2,a3,a4,a6] |
Generators |
[6491:513354:1] |
Generators of the group modulo torsion |
j |
133358347042307244649/20922470400 |
j-invariant |
L |
9.3574316533088 |
L(r)(E,1)/r! |
Ω |
0.1526034049078 |
Real period |
R |
5.1098857956689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12090c1 |
Quadratic twists by: -3 |