Atkin-Lehner |
2- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23104ba |
Isogeny class |
Conductor |
23104 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
131328 |
Modular degree for the optimal curve |
Δ |
-35617113198559232 = -1 · 221 · 198 |
Discriminant |
Eigenvalues |
2- 1 0 4 3 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,45727,8278559] |
[a1,a2,a3,a4,a6] |
j |
2375/8 |
j-invariant |
L |
3.1160232700008 |
L(r)(E,1)/r! |
Ω |
0.2596686058334 |
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 |
23104c1 5776i1 23104bv1 |
Quadratic twists by: -4 8 -19 |