Atkin-Lehner |
2- 3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
6270q |
Isogeny class |
Conductor |
6270 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-801155520 = -1 · 26 · 32 · 5 · 114 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-966,11556] |
[a1,a2,a3,a4,a6] |
Generators |
[8:62:1] |
Generators of the group modulo torsion |
j |
-99697252461409/801155520 |
j-invariant |
L |
6.3013587446331 |
L(r)(E,1)/r! |
Ω |
1.5989757625796 |
Real period |
R |
0.32840599651883 |
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 |
50160bb1 18810i1 31350h1 68970v1 |
Quadratic twists by: -4 -3 5 -11 |