Atkin-Lehner |
2+ 3+ 5- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
115050p |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
802830938832000 = 27 · 38 · 53 · 133 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7498595,-7906597875] |
[a1,a2,a3,a4,a6] |
Generators |
[131120683331:35582076186581:1771561] |
Generators of the group modulo torsion |
j |
373038351648467332050413/6422647510656 |
j-invariant |
L |
3.3989077617728 |
L(r)(E,1)/r! |
Ω |
0.091233549794578 |
Real period |
R |
18.627510070003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000078648 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115050cl2 |
Quadratic twists by: 5 |