Atkin-Lehner |
5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
2075b |
Isogeny class |
Conductor |
2075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
660 |
Modular degree for the optimal curve |
Δ |
-810546875 = -1 · 510 · 83 |
Discriminant |
Eigenvalues |
-1 0 5+ -1 3 6 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,195,-928] |
[a1,a2,a3,a4,a6] |
j |
84375/83 |
j-invariant |
L |
0.86565582160484 |
L(r)(E,1)/r! |
Ω |
0.86565582160484 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33200p1 18675e1 2075d1 101675g1 |
Quadratic twists by: -4 -3 5 -7 |