Atkin-Lehner |
2+ 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44042b |
Isogeny class |
Conductor |
44042 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-5983920667613776 = -1 · 24 · 1910 · 61 |
Discriminant |
Eigenvalues |
2+ 2 1 1 -1 -1 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-43327,5071317] |
[a1,a2,a3,a4,a6] |
j |
-191202526081/127193296 |
j-invariant |
L |
1.5707901587943 |
L(r)(E,1)/r! |
Ω |
0.39269753971816 |
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 |
2318d1 |
Quadratic twists by: -19 |