Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
4704v |
Isogeny class |
Conductor |
4704 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
29884728384 = 26 · 34 · 78 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1094,11544] |
[a1,a2,a3,a4,a6] |
Generators |
[44:216:1] |
Generators of the group modulo torsion |
j |
19248832/3969 |
j-invariant |
L |
2.7305513351411 |
L(r)(E,1)/r! |
Ω |
1.1134752376328 |
Real period |
R |
2.452278454747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4704be1 9408cu2 14112s1 117600cm1 |
Quadratic twists by: -4 8 -3 5 |