Atkin-Lehner |
2- 5+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
69700l |
Isogeny class |
Conductor |
69700 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1336320 |
Modular degree for the optimal curve |
Δ |
295012980601250000 = 24 · 57 · 174 · 414 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3466033,2482396188] |
[a1,a2,a3,a4,a6] |
Generators |
[1004:3944:1] |
Generators of the group modulo torsion |
j |
18419672688642310144/1180051922405 |
j-invariant |
L |
4.3885909803857 |
L(r)(E,1)/r! |
Ω |
0.29168269352463 |
Real period |
R |
3.7614427234664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997913 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13940a1 |
Quadratic twists by: 5 |