Atkin-Lehner |
5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
1705a |
Isogeny class |
Conductor |
1705 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1600 |
Modular degree for the optimal curve |
Δ |
-36630859375 = -1 · 510 · 112 · 31 |
Discriminant |
Eigenvalues |
1 -2 5+ 4 11+ -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-964,14661] |
[a1,a2,a3,a4,a6] |
j |
-98925223576249/36630859375 |
j-invariant |
L |
1.0884008084022 |
L(r)(E,1)/r! |
Ω |
1.0884008084022 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27280n1 109120r1 15345l1 8525a1 |
Quadratic twists by: -4 8 -3 5 |