Atkin-Lehner |
2- 3- 7+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
100464bo |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
498488466997248 = 226 · 3 · 72 · 133 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -2 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45752,3595092] |
[a1,a2,a3,a4,a6] |
j |
2585851062113593/121701285888 |
j-invariant |
L |
3.1037649514921 |
L(r)(E,1)/r! |
Ω |
0.51729417065897 |
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 |
12558e1 |
Quadratic twists by: -4 |