Atkin-Lehner |
2- 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
32864f |
Isogeny class |
Conductor |
32864 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3328 |
Modular degree for the optimal curve |
Δ |
-525824 = -1 · 29 · 13 · 79 |
Discriminant |
Eigenvalues |
2- 0 -1 -1 3 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43,114] |
[a1,a2,a3,a4,a6] |
Generators |
[2:6:1] |
Generators of the group modulo torsion |
j |
-17173512/1027 |
j-invariant |
L |
4.6787043450774 |
L(r)(E,1)/r! |
Ω |
2.8882034910693 |
Real period |
R |
1.6199358388509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32864b1 65728bc1 |
Quadratic twists by: -4 8 |