Atkin-Lehner |
2- 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
35904ce |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
39063552 = 212 · 3 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11- 4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-89,153] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:12:1] [-8:17:1] |
Generators of the group modulo torsion |
j |
19248832/9537 |
j-invariant |
L |
6.7474991394146 |
L(r)(E,1)/r! |
Ω |
1.8143339907808 |
Real period |
R |
1.8594975273846 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35904co1 17952r1 107712dl1 |
Quadratic twists by: -4 8 -3 |