Atkin-Lehner |
2+ 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
80400g |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
-30604515018750000 = -1 · 24 · 35 · 58 · 674 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,13217,-8400938] |
[a1,a2,a3,a4,a6] |
j |
1021291022336/122418060075 |
j-invariant |
L |
3.1656801787982 |
L(r)(E,1)/r! |
Ω |
0.17587112069507 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40200be1 16080h1 |
Quadratic twists by: -4 5 |