Atkin-Lehner |
2+ 3- 5+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
23370f |
Isogeny class |
Conductor |
23370 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-610959853440 = -1 · 27 · 36 · 5 · 19 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -3 5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2994,73156] |
[a1,a2,a3,a4,a6] |
j |
-2966679065391769/610959853440 |
j-invariant |
L |
1.7524589666615 |
L(r)(E,1)/r! |
Ω |
0.87622948333075 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
70110bm1 116850bx1 |
Quadratic twists by: -3 5 |