Atkin-Lehner |
2+ 3- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
24102n |
Isogeny class |
Conductor |
24102 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
188213674896 = 24 · 38 · 132 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -4 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1521,-8883] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:84:1] |
Generators of the group modulo torsion |
j |
534003898897/258180624 |
j-invariant |
L |
3.5270137017481 |
L(r)(E,1)/r! |
Ω |
0.80234412897233 |
Real period |
R |
2.19794323557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8034k2 |
Quadratic twists by: -3 |