Atkin-Lehner |
2- 3+ 5- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
93060f |
Isogeny class |
Conductor |
93060 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-33780780000000 = -1 · 28 · 33 · 57 · 113 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 11- 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7248,147604] |
[a1,a2,a3,a4,a6] |
Generators |
[53:825:1] |
Generators of the group modulo torsion |
j |
6092205391872/4887265625 |
j-invariant |
L |
6.892887949113 |
L(r)(E,1)/r! |
Ω |
0.42205298191541 |
Real period |
R |
0.38885255334605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004611 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93060a1 |
Quadratic twists by: -3 |