Atkin-Lehner |
2- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
42320bc |
Isogeny class |
Conductor |
42320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
397440 |
Modular degree for the optimal curve |
Δ |
-2305475406672640 = -1 · 28 · 5 · 239 |
Discriminant |
Eigenvalues |
2- -2 5- -3 2 4 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-519125,143810335] |
[a1,a2,a3,a4,a6] |
j |
-33554432/5 |
j-invariant |
L |
1.7798868361924 |
L(r)(E,1)/r! |
Ω |
0.44497170904623 |
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 |
10580l1 42320q1 |
Quadratic twists by: -4 -23 |