Atkin-Lehner |
2- 3+ 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
37170u |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1199039152500 = 22 · 39 · 54 · 7 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4862,-118151] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:121:1] |
Generators of the group modulo torsion |
j |
645644623707/60917500 |
j-invariant |
L |
8.8751396836234 |
L(r)(E,1)/r! |
Ω |
0.57520544065839 |
Real period |
R |
1.9286890944269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37170d2 |
Quadratic twists by: -3 |