Atkin-Lehner |
2+ 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
19488a |
Isogeny class |
Conductor |
19488 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
10633900032 = 212 · 32 · 73 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1713,-26271] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:21:1] |
Generators of the group modulo torsion |
j |
135796744000/2596167 |
j-invariant |
L |
4.906474362865 |
L(r)(E,1)/r! |
Ω |
0.74292231076303 |
Real period |
R |
1.1007149944175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19488b2 38976bt1 58464bb2 |
Quadratic twists by: -4 8 -3 |