Atkin-Lehner |
2+ 3+ 5- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
15810b |
Isogeny class |
Conductor |
15810 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
23520 |
Modular degree for the optimal curve |
Δ |
-489833325000 = -1 · 23 · 37 · 55 · 172 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 3 -4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,688,-32664] |
[a1,a2,a3,a4,a6] |
Generators |
[37:194:1] |
Generators of the group modulo torsion |
j |
35933733098999/489833325000 |
j-invariant |
L |
3.5378849700646 |
L(r)(E,1)/r! |
Ω |
0.45662027430447 |
Real period |
R |
0.77479804755791 |
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 |
126480bw1 47430bf1 79050cf1 |
Quadratic twists by: -4 -3 5 |