Atkin-Lehner |
2- 3- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
7416c |
Isogeny class |
Conductor |
7416 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6400 |
Modular degree for the optimal curve |
Δ |
-37368096768 = -1 · 211 · 311 · 103 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -5 -4 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,789,-3706] |
[a1,a2,a3,a4,a6] |
Generators |
[10:72:1] |
Generators of the group modulo torsion |
j |
36382894/25029 |
j-invariant |
L |
3.1206680694531 |
L(r)(E,1)/r! |
Ω |
0.65360684446864 |
Real period |
R |
2.3872669754477 |
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 |
14832c1 59328i1 2472a1 |
Quadratic twists by: -4 8 -3 |