Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
7896b |
Isogeny class |
Conductor |
7896 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-252672 = -1 · 28 · 3 · 7 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -1 2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7,-21] |
[a1,a2,a3,a4,a6] |
Generators |
[3:6:1] |
Generators of the group modulo torsion |
j |
128000/987 |
j-invariant |
L |
5.2388504640014 |
L(r)(E,1)/r! |
Ω |
1.5471802622708 |
Real period |
R |
0.84651585076328 |
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 |
15792b1 63168o1 23688u1 55272g1 |
Quadratic twists by: -4 8 -3 -7 |