Atkin-Lehner |
2+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
14210f |
Isogeny class |
Conductor |
14210 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-721157500 = -1 · 22 · 54 · 73 · 292 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-44,1308] |
[a1,a2,a3,a4,a6] |
Generators |
[2:34:1] |
Generators of the group modulo torsion |
j |
-27818127/2102500 |
j-invariant |
L |
3.3624548234321 |
L(r)(E,1)/r! |
Ω |
1.3231356190555 |
Real period |
R |
0.31765969177749 |
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 |
113680bi1 127890fa1 71050bo1 14210b1 |
Quadratic twists by: -4 -3 5 -7 |