Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
71400ci |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-107100000000 = -1 · 28 · 32 · 58 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,492,15012] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-150:1] |
Generators of the group modulo torsion |
j |
3286064/26775 |
j-invariant |
L |
4.5746835801984 |
L(r)(E,1)/r! |
Ω |
0.7728211524922 |
Real period |
R |
0.73993244837491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280y1 |
Quadratic twists by: 5 |