Atkin-Lehner |
3+ 5+ 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
77775b |
Isogeny class |
Conductor |
77775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
233325 = 32 · 52 · 17 · 61 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -3 3 3 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-28,-64] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:3:1] |
Generators of the group modulo torsion |
j |
97325545/9333 |
j-invariant |
L |
3.2466216279331 |
L(r)(E,1)/r! |
Ω |
2.0878308321375 |
Real period |
R |
0.77751070105959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998612 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77775m1 |
Quadratic twists by: 5 |