Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696eg |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
379302037880832 = 216 · 33 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11- -6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36300,-2491632] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:363:1] |
Generators of the group modulo torsion |
j |
1687500/121 |
j-invariant |
L |
5.120995357476 |
L(r)(E,1)/r! |
Ω |
0.347442095302 |
Real period |
R |
1.8423916625306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001373 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696i2 17424e2 69696eh2 6336bo2 |
Quadratic twists by: -4 8 -3 -11 |