Atkin-Lehner |
2+ 3+ 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
114840b |
Isogeny class |
Conductor |
114840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
356352 |
Modular degree for the optimal curve |
Δ |
116535957120000 = 210 · 39 · 54 · 11 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63963,-6204762] |
[a1,a2,a3,a4,a6] |
Generators |
[221977:5127200:343] |
Generators of the group modulo torsion |
j |
1435882616172/5781875 |
j-invariant |
L |
7.4888417105156 |
L(r)(E,1)/r! |
Ω |
0.300277328553 |
Real period |
R |
6.2349376743349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999951137 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114840q1 |
Quadratic twists by: -3 |