Atkin-Lehner |
5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
121495c |
Isogeny class |
Conductor |
121495 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
32607126370225 = 52 · 112 · 476 |
Discriminant |
Eigenvalues |
1 0 5+ 0 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9250,-202089] |
[a1,a2,a3,a4,a6] |
Generators |
[-37207626:-266016479:804357] |
Generators of the group modulo torsion |
j |
8120601/3025 |
j-invariant |
L |
6.2334168151325 |
L(r)(E,1)/r! |
Ω |
0.50214707393141 |
Real period |
R |
12.413527911122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000156249 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55a1 |
Quadratic twists by: -47 |