Atkin-Lehner |
2+ 3+ 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
19314a |
Isogeny class |
Conductor |
19314 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
366912 |
Modular degree for the optimal curve |
Δ |
-461882294840328192 = -1 · 239 · 33 · 292 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -1 -3 3 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-262380,61263568] |
[a1,a2,a3,a4,a6] |
Generators |
[279:2978:1] |
Generators of the group modulo torsion |
j |
-73986598656556637787/17106751660752896 |
j-invariant |
L |
4.951169574895 |
L(r)(E,1)/r! |
Ω |
0.28268176894209 |
Real period |
R |
4.378748577795 |
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 |
19314k1 |
Quadratic twists by: -3 |