Atkin-Lehner |
3- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
6675j |
Isogeny class |
Conductor |
6675 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
555000 |
Modular degree for the optimal curve |
Δ |
-2.6216301075773E+21 |
Discriminant |
Eigenvalues |
2 3- 5- 3 4 3 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-7557208,8364662869] |
[a1,a2,a3,a4,a6] |
j |
-122193431714654556160/6711373075398003 |
j-invariant |
L |
7.1139422783175 |
L(r)(E,1)/r! |
Ω |
0.14227884556635 |
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 |
106800bp1 20025q1 6675f1 |
Quadratic twists by: -4 -3 5 |