Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
45864v |
Isogeny class |
Conductor |
45864 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-199303745069205504 = -1 · 211 · 317 · 73 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -3 13- 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-285411,62495678] |
[a1,a2,a3,a4,a6] |
j |
-5020930768142/389191959 |
j-invariant |
L |
3.7389185183998 |
L(r)(E,1)/r! |
Ω |
0.31157654322046 |
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 |
91728bu1 15288z1 45864p1 |
Quadratic twists by: -4 -3 -7 |