Atkin-Lehner |
2+ 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
124656br |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
1642553219328 = 28 · 3 · 79 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 6 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18636,-983508] |
[a1,a2,a3,a4,a6] |
j |
69291952/159 |
j-invariant |
L |
6.5386685666199 |
L(r)(E,1)/r! |
Ω |
0.40866676242271 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62328m1 124656s1 |
Quadratic twists by: -4 -7 |