Atkin-Lehner |
3- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
82467bd |
Isogeny class |
Conductor |
82467 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
4.5972971192951E+19 |
Discriminant |
Eigenvalues |
1 3- 2 7- 11- 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-59006691,174476109240] |
[a1,a2,a3,a4,a6] |
Generators |
[1695895212:-55304505042:493039] |
Generators of the group modulo torsion |
j |
264918160154242157473/536027170833 |
j-invariant |
L |
9.159488497407 |
L(r)(E,1)/r! |
Ω |
0.17355053834872 |
Real period |
R |
13.194266905228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992694 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27489r1 11781h1 |
Quadratic twists by: -3 -7 |