Atkin-Lehner |
2+ 7- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
76538j |
Isogeny class |
Conductor |
76538 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
1683836 = 22 · 72 · 112 · 71 |
Discriminant |
Eigenvalues |
2+ 0 -1 7- 11+ -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-65,209] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:17:1] [-1:17:1] |
Generators of the group modulo torsion |
j |
625202361/34364 |
j-invariant |
L |
6.9594535338945 |
L(r)(E,1)/r! |
Ω |
2.6205877575693 |
Real period |
R |
0.66392105299126 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76538a1 |
Quadratic twists by: -7 |