Atkin-Lehner |
3+ 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
67725a |
Isogeny class |
Conductor |
67725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
979200 |
Modular degree for the optimal curve |
Δ |
190555927734375 = 33 · 510 · 75 · 43 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -3 0 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3815742,2869862041] |
[a1,a2,a3,a4,a6] |
Generators |
[140880:-63241:125] |
Generators of the group modulo torsion |
j |
23302202697774675/722701 |
j-invariant |
L |
5.7887942056021 |
L(r)(E,1)/r! |
Ω |
0.41598608069152 |
Real period |
R |
6.9579181543609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999865 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67725c1 67725l1 |
Quadratic twists by: -3 5 |