Atkin-Lehner |
2+ 3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47880a |
Isogeny class |
Conductor |
47880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-31832922240000 = -1 · 210 · 39 · 54 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-243,-271458] |
[a1,a2,a3,a4,a6] |
Generators |
[2118:97470:1] |
Generators of the group modulo torsion |
j |
-78732/1579375 |
j-invariant |
L |
5.4688919357633 |
L(r)(E,1)/r! |
Ω |
0.30002738908522 |
Real period |
R |
4.5569939068282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999846 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95760h2 47880v2 |
Quadratic twists by: -4 -3 |