Atkin-Lehner |
2- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
42320t |
Isogeny class |
Conductor |
42320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-4358176572160 = -1 · 28 · 5 · 237 |
Discriminant |
Eigenvalues |
2- 0 5- -1 6 6 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4232,-146004] |
[a1,a2,a3,a4,a6] |
j |
-221184/115 |
j-invariant |
L |
2.3111234834254 |
L(r)(E,1)/r! |
Ω |
0.28889043542881 |
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 |
10580g1 1840g1 |
Quadratic twists by: -4 -23 |