Atkin-Lehner |
2- 3- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
53664m |
Isogeny class |
Conductor |
53664 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-4922774117134848 = -1 · 29 · 32 · 132 · 436 |
Discriminant |
Eigenvalues |
2- 3- -2 2 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-77704,8968700] |
[a1,a2,a3,a4,a6] |
j |
-101341999183791176/9614793197529 |
j-invariant |
L |
2.5338912580452 |
L(r)(E,1)/r! |
Ω |
0.42231520951213 |
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 |
53664b2 107328d2 |
Quadratic twists by: -4 8 |