Atkin-Lehner |
3- 5+ 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
51615c |
Isogeny class |
Conductor |
51615 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-17153436597795 = -1 · 310 · 5 · 31 · 374 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5130,-141669] |
[a1,a2,a3,a4,a6] |
Generators |
[2282940:-11408139:85184] |
Generators of the group modulo torsion |
j |
20478618629279/23530091355 |
j-invariant |
L |
7.3199357394807 |
L(r)(E,1)/r! |
Ω |
0.37306857322223 |
Real period |
R |
9.81044272405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17205c4 |
Quadratic twists by: -3 |