Atkin-Lehner |
2- 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
120384dc |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-22417788096 = -1 · 26 · 36 · 113 · 192 |
Discriminant |
Eigenvalues |
2- 3- -3 4 11+ -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-984,13894] |
[a1,a2,a3,a4,a6] |
j |
-2258403328/480491 |
j-invariant |
L |
2.3060242506224 |
L(r)(E,1)/r! |
Ω |
1.1530127251346 |
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 |
120384bn1 30096bh1 13376t1 |
Quadratic twists by: -4 8 -3 |