Atkin-Lehner |
2- 3+ 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
51660b |
Isogeny class |
Conductor |
51660 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
347155200 = 28 · 33 · 52 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16407,808894] |
[a1,a2,a3,a4,a6] |
Generators |
[158:1470:1] |
Generators of the group modulo torsion |
j |
70665513138288/50225 |
j-invariant |
L |
6.8075940729219 |
L(r)(E,1)/r! |
Ω |
1.4142230000986 |
Real period |
R |
2.4068319043176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51660a2 |
Quadratic twists by: -3 |