Atkin-Lehner |
2- 3+ 5- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
118320ca |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
355918675968000 = 222 · 34 · 53 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27320,-1473168] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:306:1] |
Generators of the group modulo torsion |
j |
550581666106681/86894208000 |
j-invariant |
L |
7.6655734411274 |
L(r)(E,1)/r! |
Ω |
0.37529847727901 |
Real period |
R |
1.7021059836333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045954 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790l1 |
Quadratic twists by: -4 |