Atkin-Lehner |
2+ 3+ 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
112530b |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
3042091008000 = 216 · 32 · 53 · 113 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11+ 0 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7053,-214947] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:151:1] |
Generators of the group modulo torsion |
j |
29158388419139/2285568000 |
j-invariant |
L |
2.9441422795642 |
L(r)(E,1)/r! |
Ω |
0.52354043619283 |
Real period |
R |
2.811762092912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999129693 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112530bl1 |
Quadratic twists by: -11 |