Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680ea |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3.8058732518976E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 2 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18520203,-42685877702] |
[a1,a2,a3,a4,a6] |
Generators |
[38634490428963:5498691306991766:1820316861] |
Generators of the group modulo torsion |
j |
-48743122863889/26406250000 |
j-invariant |
L |
5.608875807491 |
L(r)(E,1)/r! |
Ω |
0.035490301682663 |
Real period |
R |
19.754959559923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020338 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15210bj2 13520be2 9360by2 |
Quadratic twists by: -4 -3 13 |