Atkin-Lehner |
2+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
56144d |
Isogeny class |
Conductor |
56144 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
635353351424 = 28 · 112 · 295 |
Discriminant |
Eigenvalues |
2+ 0 -2 -1 11- -3 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2156,3740] |
[a1,a2,a3,a4,a6] |
Generators |
[97:841:1] |
Generators of the group modulo torsion |
j |
35780355072/20511149 |
j-invariant |
L |
2.7875464949606 |
L(r)(E,1)/r! |
Ω |
0.77998368477922 |
Real period |
R |
0.71477046232877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000243 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28072e1 56144c1 |
Quadratic twists by: -4 -11 |