Atkin-Lehner |
3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
35739o |
Isogeny class |
Conductor |
35739 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-16479134235119259 = -1 · 36 · 113 · 198 |
Discriminant |
Eigenvalues |
0 3- 3 -4 11+ -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-88806,11912368] |
[a1,a2,a3,a4,a6] |
Generators |
[19570:169788:125] |
Generators of the group modulo torsion |
j |
-2258403328/480491 |
j-invariant |
L |
4.3226782487622 |
L(r)(E,1)/r! |
Ω |
0.37408672570636 |
Real period |
R |
5.7776418564432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3971a1 1881b1 |
Quadratic twists by: -3 -19 |