Atkin-Lehner |
2+ 3- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
96408i |
Isogeny class |
Conductor |
96408 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1130496 |
Modular degree for the optimal curve |
Δ |
1999116288 = 211 · 36 · 13 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 2 3 -5 13- -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4901139,4176318798] |
[a1,a2,a3,a4,a6] |
Generators |
[2807818:19612:2197] |
Generators of the group modulo torsion |
j |
8720819351266396194/1339 |
j-invariant |
L |
8.0824472989455 |
L(r)(E,1)/r! |
Ω |
0.58802626177987 |
Real period |
R |
6.8725223899098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998851 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10712c1 |
Quadratic twists by: -3 |