Atkin-Lehner |
2+ 3- 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28710g |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
365568 |
Modular degree for the optimal curve |
Δ |
-864419973120000000 = -1 · 217 · 37 · 57 · 113 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ -2 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32625,-44781539] |
[a1,a2,a3,a4,a6] |
j |
-5268114828522001/1185761280000000 |
j-invariant |
L |
0.50191756774875 |
L(r)(E,1)/r! |
Ω |
0.12547939193684 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9570w1 |
Quadratic twists by: -3 |