Atkin-Lehner |
2- 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
26640bj |
Isogeny class |
Conductor |
26640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-2013523660800000 = -1 · 215 · 312 · 55 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -5 -2 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,29157,-994358] |
[a1,a2,a3,a4,a6] |
j |
918046641959/674325000 |
j-invariant |
L |
1.0450919696494 |
L(r)(E,1)/r! |
Ω |
0.2612729924124 |
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 |
3330r1 106560fx1 8880bc1 |
Quadratic twists by: -4 8 -3 |