Atkin-Lehner |
2- 11- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
119306v |
Isogeny class |
Conductor |
119306 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
1161600 |
Modular degree for the optimal curve |
Δ |
-3679317568841728 = -1 · 211 · 118 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 2 -2 -2 11- 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-258519,-50784403] |
[a1,a2,a3,a4,a6] |
Generators |
[1623:60898:1] |
Generators of the group modulo torsion |
j |
-8913735393937/17164288 |
j-invariant |
L |
12.648550956785 |
L(r)(E,1)/r! |
Ω |
0.10585132966572 |
Real period |
R |
1.8105083013993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020481 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119306b1 |
Quadratic twists by: -11 |