Atkin-Lehner |
2- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
21700a |
Isogeny class |
Conductor |
21700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2016 |
Modular degree for the optimal curve |
Δ |
-1388800 = -1 · 28 · 52 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -4 -1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,25,30] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:2:1] |
Generators of the group modulo torsion |
j |
270000/217 |
j-invariant |
L |
3.9948182456146 |
L(r)(E,1)/r! |
Ω |
1.7416579232854 |
Real period |
R |
0.76456235410433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86800bp1 21700h1 |
Quadratic twists by: -4 5 |