Atkin-Lehner |
2- 3+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
53328r |
Isogeny class |
Conductor |
53328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
134784 |
Modular degree for the optimal curve |
Δ |
-76887883776 = -1 · 221 · 3 · 112 · 101 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 11- -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-79112,-8538384] |
[a1,a2,a3,a4,a6] |
j |
-13368920644831753/18771456 |
j-invariant |
L |
0.5693357623649 |
L(r)(E,1)/r! |
Ω |
0.14233394085076 |
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 |
6666d1 |
Quadratic twists by: -4 |