Atkin-Lehner |
2+ 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
93248p |
Isogeny class |
Conductor |
93248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-24444403712 = -1 · 224 · 31 · 47 |
Discriminant |
Eigenvalues |
2+ 1 2 0 4 -3 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,223,7487] |
[a1,a2,a3,a4,a6] |
Generators |
[273:2816:27] |
Generators of the group modulo torsion |
j |
4657463/93248 |
j-invariant |
L |
9.3184074215249 |
L(r)(E,1)/r! |
Ω |
0.89389156042625 |
Real period |
R |
2.6061347447747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000727 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93248x1 2914c1 |
Quadratic twists by: -4 8 |