Atkin-Lehner |
2- 3+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
68970cb |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
4853991889650182400 = 28 · 34 · 52 · 1110 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13352655,-18785436075] |
[a1,a2,a3,a4,a6] |
Generators |
[100302:10637775:8] |
Generators of the group modulo torsion |
j |
148617683376642237961/2739951878400 |
j-invariant |
L |
7.8126081417395 |
L(r)(E,1)/r! |
Ω |
0.078978363022436 |
Real period |
R |
6.1825541857221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994445 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6270b2 |
Quadratic twists by: -11 |