Atkin-Lehner |
2- 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116928eg |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
30191616 |
Modular degree for the optimal curve |
Δ |
-2.5009284291615E+26 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -3 1 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,96906804,-666406147696] |
[a1,a2,a3,a4,a6] |
j |
526646344431378309263/1308681048044740608 |
j-invariant |
L |
1.3736556843873 |
L(r)(E,1)/r! |
Ω |
0.028617820205476 |
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 |
116928bb1 29232bv1 38976bm1 |
Quadratic twists by: -4 8 -3 |