Atkin-Lehner |
2+ 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
2318a |
Isogeny class |
Conductor |
2318 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2016 |
Modular degree for the optimal curve |
Δ |
-5772673024 = -1 · 218 · 192 · 61 |
Discriminant |
Eigenvalues |
2+ 2 3 -3 1 -3 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-196,-3888] |
[a1,a2,a3,a4,a6] |
j |
-839362385737/5772673024 |
j-invariant |
L |
2.2651481176749 |
L(r)(E,1)/r! |
Ω |
0.56628702941873 |
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 |
18544f1 74176e1 20862v1 57950bm1 |
Quadratic twists by: -4 8 -3 5 |