Atkin-Lehner |
2+ 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
120384bv |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
337417529720832 = 226 · 37 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-85836,-9639056] |
[a1,a2,a3,a4,a6] |
j |
365986170577/1765632 |
j-invariant |
L |
2.2320209108942 |
L(r)(E,1)/r! |
Ω |
0.27900262087181 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120384co1 3762d1 40128t1 |
Quadratic twists by: -4 8 -3 |