Atkin-Lehner |
3- 103- |
Signs for the Atkin-Lehner involutions |
Class |
309a |
Isogeny class |
Conductor |
309 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
20 |
Modular degree for the optimal curve |
Δ |
-25029 = -1 · 35 · 103 |
Discriminant |
Eigenvalues |
-1 3- -1 -2 -2 -5 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6,9] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-6:1] |
Generators of the group modulo torsion |
j |
-24137569/25029 |
j-invariant |
L |
1.2276894796603 |
L(r)(E,1)/r! |
Ω |
3.4344206939524 |
Real period |
R |
0.071493249608129 |
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 |
4944d1 19776f1 927a1 7725a1 |
Quadratic twists by: -4 8 -3 5 |