Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52200j |
Isogeny class |
Conductor |
52200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5253120 |
Modular degree for the optimal curve |
Δ |
-4.1329043791411E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -3 6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48132300,132198864500] |
[a1,a2,a3,a4,a6] |
j |
-4229081330325627904/141731974593315 |
j-invariant |
L |
3.0089876509516 |
L(r)(E,1)/r! |
Ω |
0.094030864124014 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104400t1 17400bd1 10440y1 |
Quadratic twists by: -4 -3 5 |