Atkin-Lehner |
2+ 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
2130b |
Isogeny class |
Conductor |
2130 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
448 |
Modular degree for the optimal curve |
Δ |
-63900 = -1 · 22 · 32 · 52 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -6 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8,12] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:6:1] [-1:5:1] |
Generators of the group modulo torsion |
j |
-68417929/63900 |
j-invariant |
L |
2.18422302887 |
L(r)(E,1)/r! |
Ω |
3.1874236811281 |
Real period |
R |
0.34263142389914 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17040v1 68160bt1 6390t1 10650bh1 |
Quadratic twists by: -4 8 -3 5 |