Atkin-Lehner |
2+ 3- 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
23634h |
Isogeny class |
Conductor |
23634 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
190848 |
Modular degree for the optimal curve |
Δ |
-1463354986070016 = -1 · 221 · 312 · 13 · 101 |
Discriminant |
Eigenvalues |
2+ 3- -3 -4 0 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12456,1919808] |
[a1,a2,a3,a4,a6] |
j |
-293191648004737/2007345659904 |
j-invariant |
L |
0.82325020242587 |
L(r)(E,1)/r! |
Ω |
0.41162510121292 |
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 |
7878g1 |
Quadratic twists by: -3 |