Atkin-Lehner |
2- 3+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67518bg |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
324000 |
Modular degree for the optimal curve |
Δ |
-45598959720864 = -1 · 25 · 33 · 116 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 3 4 11- -5 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5831,-365857] |
[a1,a2,a3,a4,a6] |
j |
-458314011/953312 |
j-invariant |
L |
7.6889775950474 |
L(r)(E,1)/r! |
Ω |
0.25629925371586 |
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 |
67518f2 558b1 |
Quadratic twists by: -3 -11 |