Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4680n |
Isogeny class |
Conductor |
4680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-36846576000000 = -1 · 210 · 311 · 56 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6477,212222] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:162:1] |
Generators of the group modulo torsion |
j |
40254822716/49359375 |
j-invariant |
L |
3.6333439247958 |
L(r)(E,1)/r! |
Ω |
0.43550569522903 |
Real period |
R |
2.0857040244244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9360i1 37440cq1 1560b1 23400r1 |
Quadratic twists by: -4 8 -3 5 |