Atkin-Lehner |
2+ 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
71400bv |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-1359456000 = -1 · 28 · 3 · 53 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,132,-1632] |
[a1,a2,a3,a4,a6] |
j |
7888624/42483 |
j-invariant |
L |
3.0563030586297 |
L(r)(E,1)/r! |
Ω |
0.76407576624314 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71400de1 |
Quadratic twists by: 5 |