Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21294bs |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
336960 |
Modular degree for the optimal curve |
Δ |
-176230960929118368 = -1 · 25 · 39 · 73 · 138 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ -2 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-48197,-20592035] |
[a1,a2,a3,a4,a6] |
j |
-771147/10976 |
j-invariant |
L |
1.3735489626718 |
L(r)(E,1)/r! |
Ω |
0.13735489626718 |
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 |
21294g1 21294m1 |
Quadratic twists by: -3 13 |