Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
12240bu |
Isogeny class |
Conductor |
12240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-46473750000 = -1 · 24 · 37 · 57 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 3 -4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11073,448603] |
[a1,a2,a3,a4,a6] |
j |
-12872772702976/3984375 |
j-invariant |
L |
2.2204077498073 |
L(r)(E,1)/r! |
Ω |
1.1102038749037 |
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 |
3060j1 48960fx1 4080bd1 61200ez1 |
Quadratic twists by: -4 8 -3 5 |