Atkin-Lehner |
2+ 3- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
83304f |
Isogeny class |
Conductor |
83304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-5829947136 = -1 · 28 · 39 · 13 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 1 3 5 13+ -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,393,2122] |
[a1,a2,a3,a4,a6] |
Generators |
[2:54:1] |
Generators of the group modulo torsion |
j |
35969456/31239 |
j-invariant |
L |
8.7863489704274 |
L(r)(E,1)/r! |
Ω |
0.87645771741519 |
Real period |
R |
1.2531050834943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001299 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27768j1 |
Quadratic twists by: -3 |