Atkin-Lehner |
2- 3+ 5+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
69030ba |
Isogeny class |
Conductor |
69030 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
1537821347400 = 23 · 33 · 52 · 136 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-188663,31588231] |
[a1,a2,a3,a4,a6] |
Generators |
[241:152:1] |
Generators of the group modulo torsion |
j |
27505402082451142227/56956346200 |
j-invariant |
L |
10.230504108514 |
L(r)(E,1)/r! |
Ω |
0.72899995007803 |
Real period |
R |
0.77964523770986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998735 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69030g2 |
Quadratic twists by: -3 |