Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
4704u |
Isogeny class |
Conductor |
4704 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
3320525376 = 26 · 32 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-702,6840] |
[a1,a2,a3,a4,a6] |
Generators |
[20:20:1] |
Generators of the group modulo torsion |
j |
5088448/441 |
j-invariant |
L |
3.6335512035198 |
L(r)(E,1)/r! |
Ω |
1.3780431586394 |
Real period |
R |
2.6367470283785 |
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 |
4704bd1 9408da2 14112z1 117600dh1 |
Quadratic twists by: -4 8 -3 5 |