Atkin-Lehner |
3+ 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
17595a |
Isogeny class |
Conductor |
17595 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
3490408125 = 33 · 54 · 17 · 233 |
Discriminant |
Eigenvalues |
0 3+ 5+ -1 0 -1 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-394548,95388909] |
[a1,a2,a3,a4,a6] |
j |
251570368953936248832/129274375 |
j-invariant |
L |
1.1438547781573 |
L(r)(E,1)/r! |
Ω |
0.85789108361798 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
17595i2 87975g1 |
Quadratic twists by: -3 5 |