Atkin-Lehner |
2- 3- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
59220z |
Isogeny class |
Conductor |
59220 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
93312 |
Modular degree for the optimal curve |
Δ |
-4747086570240 = -1 · 28 · 36 · 5 · 72 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1248,103444] |
[a1,a2,a3,a4,a6] |
Generators |
[29:405:1] |
Generators of the group modulo torsion |
j |
1151860736/25436635 |
j-invariant |
L |
7.6879520697125 |
L(r)(E,1)/r! |
Ω |
0.57740253074578 |
Real period |
R |
3.3286795867405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6580a1 |
Quadratic twists by: -3 |