Atkin-Lehner |
2- 3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
31152t |
Isogeny class |
Conductor |
31152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
1531183104 = 218 · 32 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1904,-31296] |
[a1,a2,a3,a4,a6] |
j |
186463002097/373824 |
j-invariant |
L |
1.4455932619193 |
L(r)(E,1)/r! |
Ω |
0.72279663096004 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3894n1 124608cx1 93456ba1 |
Quadratic twists by: -4 8 -3 |