Atkin-Lehner |
2+ 3- 59- |
Signs for the Atkin-Lehner involutions |
Class |
62658n |
Isogeny class |
Conductor |
62658 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1059840 |
Modular degree for the optimal curve |
Δ |
15518472830189568 = 223 · 312 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 4 -3 -2 0 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-357750,-82052492] |
[a1,a2,a3,a4,a6] |
Generators |
[-3190434428:4769327449:9528128] |
Generators of the group modulo torsion |
j |
1995408283078921/6115295232 |
j-invariant |
L |
5.7657988021298 |
L(r)(E,1)/r! |
Ω |
0.1952471040554 |
Real period |
R |
14.765388789016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991588 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20886k1 62658ba1 |
Quadratic twists by: -3 -59 |