Atkin-Lehner |
2- 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
93288x |
Isogeny class |
Conductor |
93288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
231489773776971216 = 24 · 33 · 1312 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 -4 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-158747,7590660] |
[a1,a2,a3,a4,a6] |
j |
5728790382592/2997448389 |
j-invariant |
L |
2.2054557300368 |
L(r)(E,1)/r! |
Ω |
0.2756819949556 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7176a1 |
Quadratic twists by: 13 |