Atkin-Lehner |
2- 3- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
12834u |
Isogeny class |
Conductor |
12834 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
481746679993584 = 24 · 38 · 236 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 2 0 6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-211991,-37500609] |
[a1,a2,a3,a4,a6] |
Generators |
[-267:248:1] |
Generators of the group modulo torsion |
j |
1445261832670595113/660832208496 |
j-invariant |
L |
6.8693968298553 |
L(r)(E,1)/r! |
Ω |
0.22250115868066 |
Real period |
R |
1.2863972017397 |
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 |
102672bk2 4278a2 |
Quadratic twists by: -4 -3 |