Atkin-Lehner |
2+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
2170h |
Isogeny class |
Conductor |
2170 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-58353904000000 = -1 · 210 · 56 · 76 · 31 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,6432,309806] |
[a1,a2,a3,a4,a6] |
j |
29434650064089479/58353904000000 |
j-invariant |
L |
0.86410604851039 |
L(r)(E,1)/r! |
Ω |
0.4320530242552 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
17360be1 69440u1 19530bv1 10850v1 |
Quadratic twists by: -4 8 -3 5 |