Atkin-Lehner |
2- 3+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
7488bl |
Isogeny class |
Conductor |
7488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-789654528 = -1 · 210 · 33 · 134 |
Discriminant |
Eigenvalues |
2- 3+ -4 -4 -4 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-672,6840] |
[a1,a2,a3,a4,a6] |
Generators |
[9:39:1] |
Generators of the group modulo torsion |
j |
-1213857792/28561 |
j-invariant |
L |
2.3354315394384 |
L(r)(E,1)/r! |
Ω |
1.5908219974538 |
Real period |
R |
0.36701647688686 |
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 |
7488j1 1872l1 7488bk1 97344ea1 |
Quadratic twists by: -4 8 -3 13 |