Atkin-Lehner |
2- 3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
124656df |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
5322240 |
Modular degree for the optimal curve |
Δ |
934216691821314048 = 222 · 36 · 78 · 53 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 3 5 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10792952,13643992788] |
[a1,a2,a3,a4,a6] |
j |
5888439551422393/39564288 |
j-invariant |
L |
5.9872463277441 |
L(r)(E,1)/r! |
Ω |
0.24946852587832 |
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 |
15582a1 124656ct1 |
Quadratic twists by: -4 -7 |