Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
30800bp |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-43120000000000 = -1 · 213 · 510 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11- -3 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36875,-2743750] |
[a1,a2,a3,a4,a6] |
j |
-138630825/1078 |
j-invariant |
L |
1.3774470178167 |
L(r)(E,1)/r! |
Ω |
0.17218087722688 |
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 |
3850m1 123200ff1 30800cj1 |
Quadratic twists by: -4 8 5 |