Atkin-Lehner |
2- 3+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
114708h |
Isogeny class |
Conductor |
114708 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
252288 |
Modular degree for the optimal curve |
Δ |
346492031952 = 24 · 3 · 114 · 793 |
Discriminant |
Eigenvalues |
2- 3+ -4 -4 11- 3 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3065,59886] |
[a1,a2,a3,a4,a6] |
Generators |
[362:-869:8] [-18:330:1] |
Generators of the group modulo torsion |
j |
13597720576/1479117 |
j-invariant |
L |
6.9352593211306 |
L(r)(E,1)/r! |
Ω |
0.92955268764274 |
Real period |
R |
0.82898406827482 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004369 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114708c1 |
Quadratic twists by: -11 |