Atkin-Lehner |
2- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
22960j |
Isogeny class |
Conductor |
22960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1868595246307901440 = -1 · 215 · 5 · 74 · 416 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1122296,-461952400] |
[a1,a2,a3,a4,a6] |
Generators |
[197956:10249713:64] |
Generators of the group modulo torsion |
j |
-38166856870016053369/456200011305640 |
j-invariant |
L |
6.9437919597317 |
L(r)(E,1)/r! |
Ω |
0.073288113303019 |
Real period |
R |
7.8955413626919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2870d2 91840bm2 114800cb2 |
Quadratic twists by: -4 8 5 |