Atkin-Lehner |
2- 5+ 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
51350u |
Isogeny class |
Conductor |
51350 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
306432 |
Modular degree for the optimal curve |
Δ |
-1051648000000000 = -1 · 219 · 59 · 13 · 79 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 3 13+ 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-83188,9358992] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:4044:1] |
Generators of the group modulo torsion |
j |
-4074610141962361/67305472000 |
j-invariant |
L |
5.7270375532125 |
L(r)(E,1)/r! |
Ω |
0.49270439105807 |
Real period |
R |
0.15294314125576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10270a1 |
Quadratic twists by: 5 |