Atkin-Lehner |
3- 5- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
31005o |
Isogeny class |
Conductor |
31005 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-216294755625 = -1 · 36 · 54 · 132 · 532 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 -2 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3182,73406] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:319:1] [1:264:1] |
Generators of the group modulo torsion |
j |
-4886171981209/296700625 |
j-invariant |
L |
5.500356617439 |
L(r)(E,1)/r! |
Ω |
0.98323286523128 |
Real period |
R |
0.69926932010967 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3445a2 |
Quadratic twists by: -3 |