Atkin-Lehner |
2+ 5+ 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
117040d |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
1009352960 = 28 · 5 · 73 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 11+ 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10876,-432960] |
[a1,a2,a3,a4,a6] |
Generators |
[336:5808:1] [119220:3656928:125] |
Generators of the group modulo torsion |
j |
555816294307024/3942785 |
j-invariant |
L |
14.98469576379 |
L(r)(E,1)/r! |
Ω |
0.46749730564972 |
Real period |
R |
32.053009902269 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999976742 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58520d1 |
Quadratic twists by: -4 |