Atkin-Lehner |
3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
61347bd |
Isogeny class |
Conductor |
61347 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
6209280 |
Modular degree for the optimal curve |
Δ |
-3.8241690539278E+20 |
Discriminant |
Eigenvalues |
-2 3- 2 -3 11- 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-24218432,-45891777772] |
[a1,a2,a3,a4,a6] |
Generators |
[16072:1927867:1] |
Generators of the group modulo torsion |
j |
-1518309117952/369603 |
j-invariant |
L |
3.9224128216561 |
L(r)(E,1)/r! |
Ω |
0.034027238869965 |
Real period |
R |
4.1168833219183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000522 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61347bc1 4719m1 |
Quadratic twists by: -11 13 |