Atkin-Lehner |
2- 3+ 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
86190ch |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1142879400 = 23 · 32 · 52 · 133 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -4 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5015,134597] |
[a1,a2,a3,a4,a6] |
Generators |
[45:-74:1] |
Generators of the group modulo torsion |
j |
6349095794413/520200 |
j-invariant |
L |
7.7441069976965 |
L(r)(E,1)/r! |
Ω |
1.4733368082926 |
Real period |
R |
0.43801406835531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005426 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86190l2 |
Quadratic twists by: 13 |