Atkin-Lehner |
2+ 3+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62832g |
Isogeny class |
Conductor |
62832 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
-155234561328 = -1 · 24 · 32 · 78 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-239,-18930] |
[a1,a2,a3,a4,a6] |
Generators |
[5610:80360:27] |
Generators of the group modulo torsion |
j |
-94757435392/9702160083 |
j-invariant |
L |
3.457101855872 |
L(r)(E,1)/r! |
Ω |
0.45408844977855 |
Real period |
R |
7.6132785535389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993151 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31416q1 |
Quadratic twists by: -4 |