Atkin-Lehner |
2+ 3- 5+ 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
119970s |
Isogeny class |
Conductor |
119970 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
698412908949440400 = 24 · 312 · 52 · 312 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-691245,217693525] |
[a1,a2,a3,a4,a6] |
Generators |
[-915:9595:1] [-442:21119:1] |
Generators of the group modulo torsion |
j |
50106324423893472721/958042399107600 |
j-invariant |
L |
6.1493761089368 |
L(r)(E,1)/r! |
Ω |
0.28625977911679 |
Real period |
R |
2.6852253406591 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000009382 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39990x2 |
Quadratic twists by: -3 |