Atkin-Lehner |
2- 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
73200cw |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
10362028032000 = 224 · 34 · 53 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 2 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6528,-133452] |
[a1,a2,a3,a4,a6] |
j |
60098096213/20238336 |
j-invariant |
L |
4.3645271717359 |
L(r)(E,1)/r! |
Ω |
0.54556589787701 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9150u1 73200bw1 |
Quadratic twists by: -4 5 |