Atkin-Lehner |
2- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
62192s |
Isogeny class |
Conductor |
62192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-12935936 = -1 · 28 · 133 · 23 |
Discriminant |
Eigenvalues |
2- 1 1 0 -1 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-212645,-37813489] |
[a1,a2,a3,a4,a6] |
j |
-1890694054739968/23 |
j-invariant |
L |
1.7785888995859 |
L(r)(E,1)/r! |
Ω |
0.11116180625381 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15548e1 62192t1 |
Quadratic twists by: -4 13 |