Atkin-Lehner |
2+ 3+ 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
108150p |
Isogeny class |
Conductor |
108150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-176604624000000 = -1 · 210 · 37 · 56 · 72 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -3 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6800,672000] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:720:1] |
Generators of the group modulo torsion |
j |
-2226025896193/11302695936 |
j-invariant |
L |
4.8197174422043 |
L(r)(E,1)/r! |
Ω |
0.49465628228437 |
Real period |
R |
2.4358921654549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999829163 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4326l1 |
Quadratic twists by: 5 |