Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
2070h |
Isogeny class |
Conductor |
2070 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-241444800 = -1 · 26 · 38 · 52 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 -6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,36,-752] |
[a1,a2,a3,a4,a6] |
Generators |
[17:59:1] |
Generators of the group modulo torsion |
j |
6967871/331200 |
j-invariant |
L |
2.3137195474262 |
L(r)(E,1)/r! |
Ω |
0.84224513177859 |
Real period |
R |
0.68677142203846 |
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 |
16560ce1 66240bi1 690h1 10350bp1 |
Quadratic twists by: -4 8 -3 5 |