Atkin-Lehner |
5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
2185a |
Isogeny class |
Conductor |
2185 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
120 |
Modular degree for the optimal curve |
Δ |
-2185 = -1 · 5 · 19 · 23 |
Discriminant |
Eigenvalues |
1 2 5+ 0 -5 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3,2] |
[a1,a2,a3,a4,a6] |
Generators |
[2:2:1] |
Generators of the group modulo torsion |
j |
-4826809/2185 |
j-invariant |
L |
4.5870745058085 |
L(r)(E,1)/r! |
Ω |
4.3253674697961 |
Real period |
R |
1.0605051565769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34960g1 19665z1 10925e1 107065g1 |
Quadratic twists by: -4 -3 5 -7 |