Atkin-Lehner |
2- 5+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
6110c |
Isogeny class |
Conductor |
6110 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
30800 |
Modular degree for the optimal curve |
Δ |
-119335937500000 = -1 · 25 · 514 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 -4 13- 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8021,-597221] |
[a1,a2,a3,a4,a6] |
Generators |
[27183:845770:27] |
Generators of the group modulo torsion |
j |
-57070627168555729/119335937500000 |
j-invariant |
L |
7.0579898284701 |
L(r)(E,1)/r! |
Ω |
0.23660968330356 |
Real period |
R |
2.9829674466091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48880p1 54990w1 30550c1 79430h1 |
Quadratic twists by: -4 -3 5 13 |