Atkin-Lehner |
2- 3+ 5- 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
30810bd |
Isogeny class |
Conductor |
30810 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-67589437500 = -1 · 22 · 34 · 56 · 132 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 4 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-950,-17233] |
[a1,a2,a3,a4,a6] |
j |
-94825054216801/67589437500 |
j-invariant |
L |
5.0027030008254 |
L(r)(E,1)/r! |
Ω |
0.41689191673533 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92430n1 |
Quadratic twists by: -3 |