Atkin-Lehner |
2+ 5+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
7990a |
Isogeny class |
Conductor |
7990 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
2400387760 = 24 · 5 · 172 · 473 |
Discriminant |
Eigenvalues |
2+ 1 5+ -1 3 5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14054,640072] |
[a1,a2,a3,a4,a6] |
j |
306958127960962009/2400387760 |
j-invariant |
L |
1.7369096658663 |
L(r)(E,1)/r! |
Ω |
1.3026822493997 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
63920b1 71910bh1 39950q1 |
Quadratic twists by: -4 -3 5 |