Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2548f |
Isogeny class |
Conductor |
2548 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
763813073296 = 24 · 710 · 132 |
Discriminant |
Eigenvalues |
2- -1 3 7- 3 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34414,-2445463] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:13:1] |
Generators of the group modulo torsion |
j |
997335808/169 |
j-invariant |
L |
3.1868642828395 |
L(r)(E,1)/r! |
Ω |
0.35052510690432 |
Real period |
R |
1.5152810360169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10192t1 40768bk1 22932r1 63700v1 |
Quadratic twists by: -4 8 -3 5 |