Atkin-Lehner |
2- 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
125048p |
Isogeny class |
Conductor |
125048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
13181747848192 = 210 · 79 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 0 0 7- 11+ -6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2334115,1372560462] |
[a1,a2,a3,a4,a6] |
Generators |
[539:16464:1] |
Generators of the group modulo torsion |
j |
34033619893500/319 |
j-invariant |
L |
4.58922459214 |
L(r)(E,1)/r! |
Ω |
0.49363528550027 |
Real period |
R |
2.3241980380611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999510419 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125048o2 |
Quadratic twists by: -7 |