Atkin-Lehner |
2+ 3+ 5+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
73950m |
Isogeny class |
Conductor |
73950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
3394305000000 = 26 · 34 · 57 · 172 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7250,-223500] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:140:1] |
Generators of the group modulo torsion |
j |
2697809628961/217235520 |
j-invariant |
L |
3.9061962166209 |
L(r)(E,1)/r! |
Ω |
0.5200216981486 |
Real period |
R |
0.93895029499897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790bb1 |
Quadratic twists by: 5 |