Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
102312x |
Isogeny class |
Conductor |
102312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-1473906672 = -1 · 24 · 33 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -3 -1 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-735,-7889] |
[a1,a2,a3,a4,a6] |
j |
-864000/29 |
j-invariant |
L |
1.8302107917842 |
L(r)(E,1)/r! |
Ω |
0.45755269127079 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102312c1 2088i1 |
Quadratic twists by: -3 -7 |