Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
94640ca |
Isogeny class |
Conductor |
94640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
6296939177984000 = 214 · 53 · 72 · 137 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -2 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-78923,7632378] |
[a1,a2,a3,a4,a6] |
Generators |
[26:2366:1] |
Generators of the group modulo torsion |
j |
2749884201/318500 |
j-invariant |
L |
4.6017001524463 |
L(r)(E,1)/r! |
Ω |
0.4097170917351 |
Real period |
R |
1.4039261002945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11830o1 7280t1 |
Quadratic twists by: -4 13 |