Atkin-Lehner |
2- 3- 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
114576cf |
Isogeny class |
Conductor |
114576 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-9286998812784 = -1 · 24 · 33 · 75 · 113 · 312 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11+ -5 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1854,-142749] |
[a1,a2,a3,a4,a6] |
Generators |
[75:651:1] |
Generators of the group modulo torsion |
j |
44024927611136/580437425799 |
j-invariant |
L |
7.8270933829661 |
L(r)(E,1)/r! |
Ω |
0.35759390575371 |
Real period |
R |
0.72960726433742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055378 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28644c1 |
Quadratic twists by: -4 |