Atkin-Lehner |
2+ 3+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
7854h |
Isogeny class |
Conductor |
7854 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
174720 |
Modular degree for the optimal curve |
Δ |
290589788611584 = 210 · 37 · 74 · 11 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- -4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2461811,-1487749395] |
[a1,a2,a3,a4,a6] |
j |
1650015832519221743605177/290589788611584 |
j-invariant |
L |
0.72316451855884 |
L(r)(E,1)/r! |
Ω |
0.12052741975981 |
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 |
62832bm1 23562be1 54978bc1 86394bp1 |
Quadratic twists by: -4 -3 -7 -11 |