Atkin-Lehner |
2- 3+ 11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19734n |
Isogeny class |
Conductor |
19734 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
372736 |
Modular degree for the optimal curve |
Δ |
-192029965368164352 = -1 · 228 · 32 · 112 · 134 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2768838,-1774628925] |
[a1,a2,a3,a4,a6] |
j |
-2347558167163869606390625/192029965368164352 |
j-invariant |
L |
3.277034904135 |
L(r)(E,1)/r! |
Ω |
0.058518480430981 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59202d1 |
Quadratic twists by: -3 |