Atkin-Lehner |
2- 7+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
78736r |
Isogeny class |
Conductor |
78736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
14159156609024 = 223 · 74 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 2 -3 7+ 5 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14112,-614656] |
[a1,a2,a3,a4,a6] |
j |
75885751966753/3456825344 |
j-invariant |
L |
1.7570440089929 |
L(r)(E,1)/r! |
Ω |
0.4392609996706 |
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 |
9842j1 |
Quadratic twists by: -4 |