Atkin-Lehner |
2- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53200dw |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
238080 |
Modular degree for the optimal curve |
Δ |
-22886452736000 = -1 · 212 · 53 · 73 · 194 |
Discriminant |
Eigenvalues |
2- 3 5- 7- -5 5 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5840,153200] |
[a1,a2,a3,a4,a6] |
j |
43022168064/44700103 |
j-invariant |
L |
5.3667292725712 |
L(r)(E,1)/r! |
Ω |
0.44722743949374 |
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 |
3325h1 53200dj1 |
Quadratic twists by: -4 5 |