Atkin-Lehner |
2+ 3- 7+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
32214k |
Isogeny class |
Conductor |
32214 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-6611691347455574016 = -1 · 216 · 33 · 72 · 135 · 593 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -1 13- -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,325177,-101021686] |
[a1,a2,a3,a4,a6] |
Generators |
[999:34444:1] |
Generators of the group modulo torsion |
j |
3802638948571547262359/6611691347455574016 |
j-invariant |
L |
5.1861669023009 |
L(r)(E,1)/r! |
Ω |
0.12458470995291 |
Real period |
R |
0.69379392600442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96642ca1 |
Quadratic twists by: -3 |