Atkin-Lehner |
2- 5+ 29+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
102950c |
Isogeny class |
Conductor |
102950 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
7643008000000 = 213 · 56 · 292 · 71 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 -2 -5 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6513,-152983] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:147:1] [-38:219:1] |
Generators of the group modulo torsion |
j |
1955469687625/489152512 |
j-invariant |
L |
18.291595518447 |
L(r)(E,1)/r! |
Ω |
0.54119242920247 |
Real period |
R |
0.64997482097002 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4118a1 |
Quadratic twists by: 5 |