Atkin-Lehner |
2- 31- |
Signs for the Atkin-Lehner involutions |
Class |
61504cd |
Isogeny class |
Conductor |
61504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1269760 |
Modular degree for the optimal curve |
Δ |
-1732747077921734656 = -1 · 216 · 319 |
Discriminant |
Eigenvalues |
2- -2 -2 4 -6 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-278049,84734431] |
[a1,a2,a3,a4,a6] |
Generators |
[417:6440:1] |
Generators of the group modulo torsion |
j |
-1372 |
j-invariant |
L |
2.8016836861964 |
L(r)(E,1)/r! |
Ω |
0.24411332788228 |
Real period |
R |
5.7384898038472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000446 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61504u1 15376k1 61504bz1 |
Quadratic twists by: -4 8 -31 |