Atkin-Lehner |
2- 3- 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
97680cn |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
-21489600000000 = -1 · 212 · 3 · 58 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1144,-222156] |
[a1,a2,a3,a4,a6] |
Generators |
[34650:331584:343] |
Generators of the group modulo torsion |
j |
40388911991/5246484375 |
j-invariant |
L |
8.0793552083427 |
L(r)(E,1)/r! |
Ω |
0.32182834274232 |
Real period |
R |
6.2761370984413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004311 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6105a1 |
Quadratic twists by: -4 |