Atkin-Lehner |
2- 3- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13248bj |
Isogeny class |
Conductor |
13248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1023571427328 = 215 · 310 · 232 |
Discriminant |
Eigenvalues |
2- 3- 4 -4 6 -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30828,-2082800] |
[a1,a2,a3,a4,a6] |
Generators |
[25345:6003:125] |
Generators of the group modulo torsion |
j |
135638288072/42849 |
j-invariant |
L |
5.6479405026197 |
L(r)(E,1)/r! |
Ω |
0.3603059637061 |
Real period |
R |
7.837700553892 |
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 |
13248bs2 6624f2 4416bb2 |
Quadratic twists by: -4 8 -3 |