Atkin-Lehner |
2- 3+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
63426w |
Isogeny class |
Conductor |
63426 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-232426564009728 = -1 · 28 · 3 · 11 · 317 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,15356,46085] |
[a1,a2,a3,a4,a6] |
Generators |
[5077579:137653963:6859] |
Generators of the group modulo torsion |
j |
451217663/261888 |
j-invariant |
L |
7.7400097993887 |
L(r)(E,1)/r! |
Ω |
0.33542074581677 |
Real period |
R |
11.537762490441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000243 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2046i1 |
Quadratic twists by: -31 |