Atkin-Lehner |
2+ 3+ 5- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
34710f |
Isogeny class |
Conductor |
34710 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
48960 |
Modular degree for the optimal curve |
Δ |
-68319693000 = -1 · 23 · 310 · 53 · 13 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 -6 13- -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1577,26541] |
[a1,a2,a3,a4,a6] |
Generators |
[77:569:1] |
Generators of the group modulo torsion |
j |
-434159214030361/68319693000 |
j-invariant |
L |
3.8236195720897 |
L(r)(E,1)/r! |
Ω |
1.0595037209157 |
Real period |
R |
0.60147965137 |
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 |
104130br1 |
Quadratic twists by: -3 |