Atkin-Lehner |
2+ 5- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
34850m |
Isogeny class |
Conductor |
34850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3520 |
Modular degree for the optimal curve |
Δ |
-348500 = -1 · 22 · 53 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ -1 5- 1 -2 -2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,15,25] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:25:8] [0:5:1] |
Generators of the group modulo torsion |
j |
2685619/2788 |
j-invariant |
L |
5.4941941574267 |
L(r)(E,1)/r! |
Ω |
2.0042185604251 |
Real period |
R |
0.68532871937161 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34850ba1 |
Quadratic twists by: 5 |