Atkin-Lehner |
2- 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
60900b |
Isogeny class |
Conductor |
60900 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
69089375250000 = 24 · 34 · 56 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22433,1237362] |
[a1,a2,a3,a4,a6] |
Generators |
[53:441:1] [-143:1225:1] |
Generators of the group modulo torsion |
j |
4994190819328/276357501 |
j-invariant |
L |
8.6783998826144 |
L(r)(E,1)/r! |
Ω |
0.60801475626559 |
Real period |
R |
0.39648160003006 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999953 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2436c1 |
Quadratic twists by: 5 |