Atkin-Lehner |
2+ 3+ 11+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
36894b |
Isogeny class |
Conductor |
36894 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-255404470464 = -1 · 26 · 33 · 11 · 132 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -5 11+ 13+ -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,52,24336] |
[a1,a2,a3,a4,a6] |
Generators |
[16:-180:1] [-130:1183:8] |
Generators of the group modulo torsion |
j |
15087533111/255404470464 |
j-invariant |
L |
4.5061053604832 |
L(r)(E,1)/r! |
Ω |
0.77661896378525 |
Real period |
R |
0.48351739727047 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110682bt1 |
Quadratic twists by: -3 |