Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
30800br |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-192500000000 = -1 · 28 · 510 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 11- -2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7708,-263912] |
[a1,a2,a3,a4,a6] |
j |
-20261200/77 |
j-invariant |
L |
2.2923089784519 |
L(r)(E,1)/r! |
Ω |
0.25470099760602 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7700a1 123200fi1 30800cn1 |
Quadratic twists by: -4 8 5 |