Atkin-Lehner |
2- 3+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
114708b |
Isogeny class |
Conductor |
114708 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
139392 |
Modular degree for the optimal curve |
Δ |
812848876752 = 24 · 3 · 118 · 79 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11- -1 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3549,70050] |
[a1,a2,a3,a4,a6] |
Generators |
[826:7127:8] |
Generators of the group modulo torsion |
j |
1441792/237 |
j-invariant |
L |
5.2141498707189 |
L(r)(E,1)/r! |
Ω |
0.85363237377605 |
Real period |
R |
6.1081913631714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999576087 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114708f1 |
Quadratic twists by: -11 |