Atkin-Lehner |
2+ 3+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
35784c |
Isogeny class |
Conductor |
35784 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
66816 |
Modular degree for the optimal curve |
Δ |
-50496855542784 = -1 · 210 · 39 · 7 · 713 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -3 -3 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,837,341766] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:568:1] |
Generators of the group modulo torsion |
j |
3217428/2505377 |
j-invariant |
L |
4.9186690629412 |
L(r)(E,1)/r! |
Ω |
0.4942254167493 |
Real period |
R |
0.82935655408906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71568b1 35784q1 |
Quadratic twists by: -4 -3 |