Atkin-Lehner |
2- 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
9960f |
Isogeny class |
Conductor |
9960 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
57369600 = 210 · 33 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 2 -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-760,7808] |
[a1,a2,a3,a4,a6] |
Generators |
[8:48:1] |
Generators of the group modulo torsion |
j |
47471816164/56025 |
j-invariant |
L |
5.7870807297004 |
L(r)(E,1)/r! |
Ω |
1.9751465935019 |
Real period |
R |
0.97664999461127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19920d1 79680a1 29880e1 49800a1 |
Quadratic twists by: -4 8 -3 5 |