Atkin-Lehner |
2- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
72200bh |
Isogeny class |
Conductor |
72200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
861840 |
Modular degree for the optimal curve |
Δ |
-37636704800000000 = -1 · 211 · 58 · 196 |
Discriminant |
Eigenvalues |
2- 3 5- 2 1 -4 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,45125,8573750] |
[a1,a2,a3,a4,a6] |
j |
270 |
j-invariant |
L |
6.4872887207094 |
L(r)(E,1)/r! |
Ω |
0.25949154897323 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72200o1 200a1 |
Quadratic twists by: 5 -19 |