Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800hs |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8847360 |
Modular degree for the optimal curve |
Δ |
-1.7298809109461E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51666375,-142956087500] |
[a1,a2,a3,a4,a6] |
j |
-167382537005851712/18983603961 |
j-invariant |
L |
2.8155589362805 |
L(r)(E,1)/r! |
Ω |
0.028155588285665 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800gm1 50400bv2 33600dk1 100800gu1 |
Quadratic twists by: -4 8 -3 5 |