Atkin-Lehner |
3- 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
105105bn |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-49786896043759875 = -1 · 3 · 53 · 78 · 116 · 13 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 11+ 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-253591,-50396174] |
[a1,a2,a3,a4,a6] |
Generators |
[4678580:10301933:8000] |
Generators of the group modulo torsion |
j |
-312854649339904/8636359875 |
j-invariant |
L |
5.8442015743857 |
L(r)(E,1)/r! |
Ω |
0.10620106792226 |
Real period |
R |
9.1715989001875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999792246 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105105w2 |
Quadratic twists by: -7 |