Atkin-Lehner |
2+ 3+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62832f |
Isogeny class |
Conductor |
62832 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
12413592576 = 210 · 33 · 74 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11- 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1552,23440] |
[a1,a2,a3,a4,a6] |
Generators |
[12:80:1] |
Generators of the group modulo torsion |
j |
403997525572/12122649 |
j-invariant |
L |
5.765751370491 |
L(r)(E,1)/r! |
Ω |
1.2602059888979 |
Real period |
R |
2.2876225875396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000312 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31416i1 |
Quadratic twists by: -4 |