Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
45864r |
Isogeny class |
Conductor |
45864 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
56160 |
Modular degree for the optimal curve |
Δ |
-2283437205504 = -1 · 211 · 36 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 2 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7203,-246274] |
[a1,a2,a3,a4,a6] |
j |
-235298/13 |
j-invariant |
L |
2.3245661466626 |
L(r)(E,1)/r! |
Ω |
0.25828512741319 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91728bk1 5096j1 936b1 |
Quadratic twists by: -4 -3 -7 |