Atkin-Lehner |
2+ 5+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
34850k |
Isogeny class |
Conductor |
34850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
748800 |
Modular degree for the optimal curve |
Δ |
-2.164982546432E+19 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 2 -3 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-920775,406763125] |
[a1,a2,a3,a4,a6] |
Generators |
[625:8400:1] |
Generators of the group modulo torsion |
j |
-5525415997957216369/1385588829716480 |
j-invariant |
L |
3.3930204386868 |
L(r)(E,1)/r! |
Ω |
0.20465350387057 |
Real period |
R |
1.3816118359873 |
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 |
6970e1 |
Quadratic twists by: 5 |