Atkin-Lehner |
2+ 3+ 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
76560a |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-103019136000 = -1 · 210 · 3 · 53 · 11 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11+ -3 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,704,-13904] |
[a1,a2,a3,a4,a6] |
Generators |
[426:802:27] |
Generators of the group modulo torsion |
j |
37629174524/100604625 |
j-invariant |
L |
5.6000709362406 |
L(r)(E,1)/r! |
Ω |
0.54624794302472 |
Real period |
R |
5.1259423553569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001583 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38280r1 |
Quadratic twists by: -4 |