Atkin-Lehner |
2+ 3- 11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19734j |
Isogeny class |
Conductor |
19734 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
11122531822116 = 22 · 32 · 112 · 136 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-101065,-12373864] |
[a1,a2,a3,a4,a6] |
j |
114161555058421089673/11122531822116 |
j-invariant |
L |
2.1421131154476 |
L(r)(E,1)/r! |
Ω |
0.26776413943095 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
59202u2 |
Quadratic twists by: -3 |