Atkin-Lehner |
2- 3+ 5- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
128340b |
Isogeny class |
Conductor |
128340 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
64039852972800 = 28 · 39 · 52 · 232 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -4 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3459807,2476999494] |
[a1,a2,a3,a4,a6] |
Generators |
[1075:62:1] |
Generators of the group modulo torsion |
j |
908966909854319472/12709225 |
j-invariant |
L |
5.0977253910277 |
L(r)(E,1)/r! |
Ω |
0.44033112958978 |
Real period |
R |
0.96475225062713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022584 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128340a2 |
Quadratic twists by: -3 |