Atkin-Lehner |
2- 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
57820f |
Isogeny class |
Conductor |
57820 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-3047504400640 = -1 · 28 · 5 · 79 · 59 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 1 -2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8183,297038] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:566:1] [-77:686:1] |
Generators of the group modulo torsion |
j |
-2012024016/101185 |
j-invariant |
L |
9.1695640917834 |
L(r)(E,1)/r! |
Ω |
0.791305038452 |
Real period |
R |
0.96565837932369 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8260a1 |
Quadratic twists by: -7 |