Atkin-Lehner |
2- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
113680bi |
Isogeny class |
Conductor |
113680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-2953861120000 = -1 · 214 · 54 · 73 · 292 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-707,-83006] |
[a1,a2,a3,a4,a6] |
Generators |
[63:350:1] [78:580:1] |
Generators of the group modulo torsion |
j |
-27818127/2102500 |
j-invariant |
L |
12.396461056231 |
L(r)(E,1)/r! |
Ω |
0.35388631895199 |
Real period |
R |
2.1893437942326 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999968127 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14210f1 113680y1 |
Quadratic twists by: -4 -7 |