Atkin-Lehner |
2+ 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
91350n |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
174720 |
Modular degree for the optimal curve |
Δ |
2695143628800 = 213 · 33 · 52 · 75 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 -3 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10407,-398339] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:101:1] |
Generators of the group modulo torsion |
j |
184680089545635/3992805376 |
j-invariant |
L |
4.6499470703143 |
L(r)(E,1)/r! |
Ω |
0.47330103307742 |
Real period |
R |
0.98245022638491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986303 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91350di1 91350dt1 |
Quadratic twists by: -3 5 |