Atkin-Lehner |
2- 3- 37+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
52614j |
Isogeny class |
Conductor |
52614 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
198912 |
Modular degree for the optimal curve |
Δ |
591050998482876 = 22 · 36 · 376 · 79 |
Discriminant |
Eigenvalues |
2- 3- -1 1 0 -1 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33788,-2076317] |
[a1,a2,a3,a4,a6] |
j |
5851559024660601/810769545244 |
j-invariant |
L |
1.4214994339915 |
L(r)(E,1)/r! |
Ω |
0.35537485865778 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5846b1 |
Quadratic twists by: -3 |