Atkin-Lehner |
2+ 3- 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
53592k |
Isogeny class |
Conductor |
53592 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-15535631392512 = -1 · 28 · 3 · 78 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,308,189728] |
[a1,a2,a3,a4,a6] |
j |
12581287472/60686060127 |
j-invariant |
L |
4.3973700003237 |
L(r)(E,1)/r! |
Ω |
0.54967125026329 |
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 |
107184c1 |
Quadratic twists by: -4 |