Atkin-Lehner |
2+ 5+ 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
70550g |
Isogeny class |
Conductor |
70550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
168192 |
Modular degree for the optimal curve |
Δ |
-457472656250 = -1 · 2 · 59 · 17 · 832 |
Discriminant |
Eigenvalues |
2+ -3 5+ 0 2 -5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,833,30991] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:73:1] [99:988:1] |
Generators of the group modulo torsion |
j |
4088324799/29278250 |
j-invariant |
L |
4.624633430698 |
L(r)(E,1)/r! |
Ω |
0.68209292483256 |
Real period |
R |
0.8475079535181 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000056 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14110m1 |
Quadratic twists by: 5 |