Atkin-Lehner |
3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35739s |
Isogeny class |
Conductor |
35739 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
656640 |
Modular degree for the optimal curve |
Δ |
-4004429619133979937 = -1 · 311 · 113 · 198 |
Discriminant |
Eigenvalues |
-1 3- 2 3 11- -6 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,68161,-96051400] |
[a1,a2,a3,a4,a6] |
Generators |
[1458:54958:1] |
Generators of the group modulo torsion |
j |
2828663/323433 |
j-invariant |
L |
4.7870504285384 |
L(r)(E,1)/r! |
Ω |
0.11722441131609 |
Real period |
R |
3.4030528672832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11913f1 35739u1 |
Quadratic twists by: -3 -19 |