Atkin-Lehner |
2+ 3- 5+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
15810d |
Isogeny class |
Conductor |
15810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-1601385414000 = -1 · 24 · 3 · 53 · 172 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,976,59822] |
[a1,a2,a3,a4,a6] |
Generators |
[310:3003:8] |
Generators of the group modulo torsion |
j |
102970461234311/1601385414000 |
j-invariant |
L |
4.4208646933728 |
L(r)(E,1)/r! |
Ω |
0.62734361001929 |
Real period |
R |
1.7617397478699 |
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 |
126480t1 47430bj1 79050bn1 |
Quadratic twists by: -4 -3 5 |