Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
47600y |
Isogeny class |
Conductor |
47600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-5120084480000000 = -1 · 215 · 57 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -6 7 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2227008,1278439988] |
[a1,a2,a3,a4,a6] |
Generators |
[868:350:1] |
Generators of the group modulo torsion |
j |
-19085751483878521/80001320 |
j-invariant |
L |
6.8213669443565 |
L(r)(E,1)/r! |
Ω |
0.37942428454309 |
Real period |
R |
0.37454590317432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5950l2 9520l2 |
Quadratic twists by: -4 5 |