Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
71400cr |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-174930000000000 = -1 · 210 · 3 · 510 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-208,636412] |
[a1,a2,a3,a4,a6] |
j |
-100/17493 |
j-invariant |
L |
2.7292729877329 |
L(r)(E,1)/r! |
Ω |
0.45487883215918 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71400bu1 |
Quadratic twists by: 5 |