Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35904bl |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-80534683055996928 = -1 · 214 · 32 · 113 · 177 |
Discriminant |
Eigenvalues |
2+ 3- -2 -5 11- -6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9109,-13660813] |
[a1,a2,a3,a4,a6] |
Generators |
[494:10131:1] |
Generators of the group modulo torsion |
j |
-5102271397888/4915446963867 |
j-invariant |
L |
4.0266693345311 |
L(r)(E,1)/r! |
Ω |
0.15452447565596 |
Real period |
R |
4.3430760913847 |
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 |
35904br1 2244a1 107712bn1 |
Quadratic twists by: -4 8 -3 |