Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
121032n |
Isogeny class |
Conductor |
121032 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
36345821608767744 = 28 · 36 · 417 |
Discriminant |
Eigenvalues |
2- 3- -2 2 2 -6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-186591,-29636030] |
[a1,a2,a3,a4,a6] |
Generators |
[1973:85338:1] |
Generators of the group modulo torsion |
j |
810448/41 |
j-invariant |
L |
5.291006846954 |
L(r)(E,1)/r! |
Ω |
0.2304302499308 |
Real period |
R |
5.7403561950426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999992614 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13448b1 2952f1 |
Quadratic twists by: -3 41 |