Atkin-Lehner |
2+ 3- 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116610y |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
99914946300 = 22 · 32 · 52 · 136 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18657604,31017738806] |
[a1,a2,a3,a4,a6] |
Generators |
[2506:-193:1] [2523:1273:1] |
Generators of the group modulo torsion |
j |
148809678420065817601/20700 |
j-invariant |
L |
9.558549452342 |
L(r)(E,1)/r! |
Ω |
0.4221172954876 |
Real period |
R |
2.8305371380272 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000515 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
690k4 |
Quadratic twists by: 13 |