Atkin-Lehner |
2- 3+ 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
76560bk |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
-31750963200000 = -1 · 217 · 35 · 55 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ -6 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3520,-281600] |
[a1,a2,a3,a4,a6] |
Generators |
[90:350:1] |
Generators of the group modulo torsion |
j |
-1177918188481/7751700000 |
j-invariant |
L |
6.3458113122176 |
L(r)(E,1)/r! |
Ω |
0.27589826152862 |
Real period |
R |
2.3000548375609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001863 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9570bd1 |
Quadratic twists by: -4 |