Atkin-Lehner |
2+ 3- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62832s |
Isogeny class |
Conductor |
62832 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
77824 |
Modular degree for the optimal curve |
Δ |
5861974272 = 28 · 3 · 74 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26388,-1658724] |
[a1,a2,a3,a4,a6] |
Generators |
[995:30954:1] |
Generators of the group modulo torsion |
j |
7938156029074000/22898337 |
j-invariant |
L |
8.2912828653732 |
L(r)(E,1)/r! |
Ω |
0.374581771742 |
Real period |
R |
5.5336935022999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998775 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31416l1 |
Quadratic twists by: -4 |