Atkin-Lehner |
2+ 3+ 5- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
79950o |
Isogeny class |
Conductor |
79950 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
47027830824000 = 26 · 38 · 53 · 13 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-94410,11121300] |
[a1,a2,a3,a4,a6] |
Generators |
[140:-890:1] [382:20555:8] |
Generators of the group modulo torsion |
j |
744517447319409821/376222646592 |
j-invariant |
L |
6.2074112411244 |
L(r)(E,1)/r! |
Ω |
0.62845843318708 |
Real period |
R |
1.6462004256214 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79950cg1 |
Quadratic twists by: 5 |