Atkin-Lehner |
2+ 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
124656bg |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
138432 |
Modular degree for the optimal curve |
Δ |
-718617033456 = -1 · 24 · 3 · 710 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -4 -1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-800,-41973] |
[a1,a2,a3,a4,a6] |
j |
-12544/159 |
j-invariant |
L |
0.38526216272956 |
L(r)(E,1)/r! |
Ω |
0.38526215418572 |
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 |
62328i1 124656c1 |
Quadratic twists by: -4 -7 |