Atkin-Lehner |
2+ 3- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
12654i |
Isogeny class |
Conductor |
12654 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
340061773824 = 213 · 310 · 19 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 1 -4 3 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2124,-24624] |
[a1,a2,a3,a4,a6] |
j |
1454034564289/466477056 |
j-invariant |
L |
1.4422041814891 |
L(r)(E,1)/r! |
Ω |
0.72110209074454 |
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 |
101232ba1 4218g1 |
Quadratic twists by: -4 -3 |