Atkin-Lehner |
2- 3- 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
39996a |
Isogeny class |
Conductor |
39996 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
36729528599808 = 28 · 317 · 11 · 101 |
Discriminant |
Eigenvalues |
2- 3- 4 1 11+ 0 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8688,-110140] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:270:1] |
Generators of the group modulo torsion |
j |
388611506176/196810317 |
j-invariant |
L |
8.5016694674324 |
L(r)(E,1)/r! |
Ω |
0.52167762034365 |
Real period |
R |
2.7161312963835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13332a1 |
Quadratic twists by: -3 |