Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
60552o |
Isogeny class |
Conductor |
60552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-12876963665163264 = -1 · 210 · 36 · 297 |
Discriminant |
Eigenvalues |
2- 3- -1 2 3 -1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-608043,182576054] |
[a1,a2,a3,a4,a6] |
Generators |
[1595:57188:1] |
Generators of the group modulo torsion |
j |
-55990084/29 |
j-invariant |
L |
6.4236521922649 |
L(r)(E,1)/r! |
Ω |
0.39382603656862 |
Real period |
R |
2.0388609423028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000142 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121104j1 6728a1 2088d1 |
Quadratic twists by: -4 -3 29 |