Atkin-Lehner |
2- 11- |
Signs for the Atkin-Lehner involutions |
Class |
704l |
Isogeny class |
Conductor |
704 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
-85184 = -1 · 26 · 113 |
Discriminant |
Eigenvalues |
2- -3 -1 0 11- 6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2,-14] |
[a1,a2,a3,a4,a6] |
Generators |
[5:11:1] |
Generators of the group modulo torsion |
j |
13824/1331 |
j-invariant |
L |
1.4443889285386 |
L(r)(E,1)/r! |
Ω |
1.6188133884502 |
Real period |
R |
0.29741721906591 |
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 |
704h1 352e1 6336bw1 17600cp1 |
Quadratic twists by: -4 8 -3 5 |