Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200eu |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-4.6704207851717E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6514125,-8195156750] |
[a1,a2,a3,a4,a6] |
Generators |
[2434795:132048000:1331] |
Generators of the group modulo torsion |
j |
655215969476375/1001033261568 |
j-invariant |
L |
7.0705812020368 |
L(r)(E,1)/r! |
Ω |
0.059946573810886 |
Real period |
R |
7.3717528299831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997535 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7650p4 20400dk4 2448p4 |
Quadratic twists by: -4 -3 5 |