Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
69300bq |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
114366496860000000 = 28 · 39 · 57 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 0 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-121575,1214750] |
[a1,a2,a3,a4,a6] |
Generators |
[-305:3150:1] [535:-9450:1] |
Generators of the group modulo torsion |
j |
68150496976/39220335 |
j-invariant |
L |
10.797580192629 |
L(r)(E,1)/r! |
Ω |
0.2837133807871 |
Real period |
R |
0.39643810017503 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999774 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23100j2 13860i2 |
Quadratic twists by: -3 5 |