Atkin-Lehner |
3+ 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
105105o |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1777362862275 = 32 · 52 · 73 · 116 · 13 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 11- 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11551,468698] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:924:1] |
Generators of the group modulo torsion |
j |
496924825082743/5181815925 |
j-invariant |
L |
2.694659770528 |
L(r)(E,1)/r! |
Ω |
0.84070778168826 |
Real period |
R |
0.26710229936019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999687559 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105105cp2 |
Quadratic twists by: -7 |