Atkin-Lehner |
2- 3+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
35904bs |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-1184832 = -1 · 26 · 32 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11+ -6 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12,-54] |
[a1,a2,a3,a4,a6] |
Generators |
[7:18:1] |
Generators of the group modulo torsion |
j |
2744000/18513 |
j-invariant |
L |
3.0540249633341 |
L(r)(E,1)/r! |
Ω |
1.3652699110398 |
Real period |
R |
2.2369385999345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35904db1 17952i2 107712eg1 |
Quadratic twists by: -4 8 -3 |