Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
4704m |
Isogeny class |
Conductor |
4704 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-31239502737408 = -1 · 212 · 33 · 710 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 -5 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32013,-2231685] |
[a1,a2,a3,a4,a6] |
Generators |
[237:1884:1] |
Generators of the group modulo torsion |
j |
-3136000/27 |
j-invariant |
L |
4.3441219262604 |
L(r)(E,1)/r! |
Ω |
0.17836666781897 |
Real period |
R |
4.0591682846161 |
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 |
4704d1 9408bv1 14112bv1 117600ex1 |
Quadratic twists by: -4 8 -3 5 |