Atkin-Lehner |
2+ 3- 23+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
80592i |
Isogeny class |
Conductor |
80592 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
425984 |
Modular degree for the optimal curve |
Δ |
137247422948352 = 210 · 38 · 234 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 -6 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-114288,-14898780] |
[a1,a2,a3,a4,a6] |
Generators |
[-198:84:1] |
Generators of the group modulo torsion |
j |
161223911624258500/134030686473 |
j-invariant |
L |
9.3895188912579 |
L(r)(E,1)/r! |
Ω |
0.25966938766164 |
Real period |
R |
2.2599696322748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002674 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40296d1 |
Quadratic twists by: -4 |