Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
2070d |
Isogeny class |
Conductor |
2070 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
12420 = 22 · 33 · 5 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 0 0 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9,-7] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:1:1] |
Generators of the group modulo torsion |
j |
3176523/460 |
j-invariant |
L |
2.212833092719 |
L(r)(E,1)/r! |
Ω |
2.7687055970106 |
Real period |
R |
0.79923018724282 |
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 |
16560bd1 66240m1 2070k1 10350bb1 |
Quadratic twists by: -4 8 -3 5 |