Atkin-Lehner |
3+ 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
56265m |
Isogeny class |
Conductor |
56265 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-229833466335 = -1 · 33 · 5 · 116 · 312 |
Discriminant |
Eigenvalues |
-1 3+ 5- 2 11- 0 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-910,-25750] |
[a1,a2,a3,a4,a6] |
j |
-47045881/129735 |
j-invariant |
L |
1.612749728903 |
L(r)(E,1)/r! |
Ω |
0.40318743221747 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
465a1 |
Quadratic twists by: -11 |