Atkin-Lehner |
2+ 11- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
62744c |
Isogeny class |
Conductor |
62744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12032 |
Modular degree for the optimal curve |
Δ |
88343552 = 210 · 112 · 23 · 31 |
Discriminant |
Eigenvalues |
2+ 2 0 2 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-208,-996] |
[a1,a2,a3,a4,a6] |
Generators |
[92922:188880:4913] |
Generators of the group modulo torsion |
j |
976562500/86273 |
j-invariant |
L |
10.000962644939 |
L(r)(E,1)/r! |
Ω |
1.2637252362971 |
Real period |
R |
7.9138742803765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999451 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125488d1 |
Quadratic twists by: -4 |