Atkin-Lehner |
2- 3- 5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
116820m |
Isogeny class |
Conductor |
116820 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1714176 |
Modular degree for the optimal curve |
Δ |
-3708679486074750000 = -1 · 24 · 318 · 56 · 11 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,386592,5027893] |
[a1,a2,a3,a4,a6] |
Generators |
[704951533:30979462500:2924207] |
Generators of the group modulo torsion |
j |
547816096623755264/317959489546875 |
j-invariant |
L |
7.8151777129156 |
L(r)(E,1)/r! |
Ω |
0.14974578641298 |
Real period |
R |
13.047408429607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999605179 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38940m1 |
Quadratic twists by: -3 |