Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696cm |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1474726323280674816 = 220 · 38 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1534764,-729494480] |
[a1,a2,a3,a4,a6] |
Generators |
[493789092940:57108656269665:36594368] |
Generators of the group modulo torsion |
j |
1180932193/4356 |
j-invariant |
L |
8.6433517233624 |
L(r)(E,1)/r! |
Ω |
0.13567052187895 |
Real period |
R |
15.92709971697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001024 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
69696gk2 2178k2 23232cg2 6336o2 |
Quadratic twists by: -4 8 -3 -11 |