Atkin-Lehner |
3+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
82467c |
Isogeny class |
Conductor |
82467 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
1221878160657 = 33 · 76 · 113 · 172 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 11+ 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3243,47984] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:298:1] |
Generators of the group modulo torsion |
j |
1187648379/384659 |
j-invariant |
L |
4.8811597022968 |
L(r)(E,1)/r! |
Ω |
0.79726445974283 |
Real period |
R |
3.0611923333494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972618 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82467d1 1683a1 |
Quadratic twists by: -3 -7 |