Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69300cq |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
706560 |
Modular degree for the optimal curve |
Δ |
-21013037718750000 = -1 · 24 · 38 · 59 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-133500,20028125] |
[a1,a2,a3,a4,a6] |
j |
-11550212096/922383 |
j-invariant |
L |
3.0047446000286 |
L(r)(E,1)/r! |
Ω |
0.37559307683835 |
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 |
23100p1 69300ck1 |
Quadratic twists by: -3 5 |