Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45864p |
Isogeny class |
Conductor |
45864 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4257792 |
Modular degree for the optimal curve |
Δ |
-2.3447886303647E+22 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -3 13+ -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13985139,-21436017554] |
[a1,a2,a3,a4,a6] |
Generators |
[987236810:933175404:226981] |
Generators of the group modulo torsion |
j |
-5020930768142/389191959 |
j-invariant |
L |
3.0992211833148 |
L(r)(E,1)/r! |
Ω |
0.03886202350964 |
Real period |
R |
9.9686689711332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999574 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91728bd1 15288bf1 45864v1 |
Quadratic twists by: -4 -3 -7 |