Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
104400de |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2229714843750000 = -1 · 24 · 39 · 512 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 3 1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39825,3810375] |
[a1,a2,a3,a4,a6] |
Generators |
[-186:2187:1] |
Generators of the group modulo torsion |
j |
-1419579648/453125 |
j-invariant |
L |
7.2583971994298 |
L(r)(E,1)/r! |
Ω |
0.43662574937477 |
Real period |
R |
4.1559603527067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999806294 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26100f2 104400ct1 20880bg2 |
Quadratic twists by: -4 -3 5 |