Atkin-Lehner |
2+ 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
39710b |
Isogeny class |
Conductor |
39710 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
364800 |
Modular degree for the optimal curve |
Δ |
8873911688922500 = 22 · 54 · 11 · 199 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 11+ 6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-115889,-14502288] |
[a1,a2,a3,a4,a6] |
Generators |
[-187:892:1] |
Generators of the group modulo torsion |
j |
533411731/27500 |
j-invariant |
L |
2.5686757780413 |
L(r)(E,1)/r! |
Ω |
0.25958463109376 |
Real period |
R |
4.9476653668151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39710q1 |
Quadratic twists by: -19 |