Atkin-Lehner |
2+ 3- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31122l |
Isogeny class |
Conductor |
31122 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
188370189939204 = 22 · 38 · 76 · 132 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17613,615505] |
[a1,a2,a3,a4,a6] |
Generators |
[152:-1273:1] [-114:1121:1] |
Generators of the group modulo torsion |
j |
828915115007953/258395322276 |
j-invariant |
L |
5.7355750051206 |
L(r)(E,1)/r! |
Ω |
0.52525257157541 |
Real period |
R |
0.9099709542144 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10374j2 |
Quadratic twists by: -3 |