Atkin-Lehner |
3- 5- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
31005n |
Isogeny class |
Conductor |
31005 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-118434356390025 = -1 · 310 · 52 · 134 · 532 |
Discriminant |
Eigenvalues |
1 3- 5- -2 -4 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4509,537538] |
[a1,a2,a3,a4,a6] |
j |
-13908844989649/162461394225 |
j-invariant |
L |
2.0057715275863 |
L(r)(E,1)/r! |
Ω |
0.50144288189658 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10335a2 |
Quadratic twists by: -3 |