Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83300k |
Isogeny class |
Conductor |
83300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
16660000000 = 28 · 57 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 0 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5133,-143137] |
[a1,a2,a3,a4,a6] |
Generators |
[-89414:7925:2197] |
Generators of the group modulo torsion |
j |
76324864/85 |
j-invariant |
L |
7.1037262211563 |
L(r)(E,1)/r! |
Ω |
0.56406444834569 |
Real period |
R |
6.2969100823091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963908 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16660j1 83300c1 |
Quadratic twists by: 5 -7 |