Atkin-Lehner |
2- 59- |
Signs for the Atkin-Lehner involutions |
Class |
6962n |
Isogeny class |
Conductor |
6962 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
800 |
Modular degree for the optimal curve |
Δ |
111392 = 25 · 592 |
Discriminant |
Eigenvalues |
2- -2 0 -1 0 4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-43,-111] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:3:1] |
Generators of the group modulo torsion |
j |
2529625/32 |
j-invariant |
L |
4.1913056513775 |
L(r)(E,1)/r! |
Ω |
1.8655725967649 |
Real period |
R |
0.44933182001553 |
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 |
55696t1 62658d1 6962g1 |
Quadratic twists by: -4 -3 -59 |