Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
120384dl |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
-539197046784 = -1 · 217 · 39 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 11- -4 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2004,-7472] |
[a1,a2,a3,a4,a6] |
j |
9314926/5643 |
j-invariant |
L |
2.1475911443115 |
L(r)(E,1)/r! |
Ω |
0.5368974665136 |
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 |
120384bd1 30096g1 40128bs1 |
Quadratic twists by: -4 8 -3 |