Atkin-Lehner |
2+ 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
112530s |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12063744 |
Modular degree for the optimal curve |
Δ |
7401008315126250000 = 24 · 34 · 57 · 119 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ -4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-67140604,211745610602] |
[a1,a2,a3,a4,a6] |
j |
14195322643523193899/3138750000 |
j-invariant |
L |
0.74648137990197 |
L(r)(E,1)/r! |
Ω |
0.18662027380448 |
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 |
112530ck1 |
Quadratic twists by: -11 |