Atkin-Lehner |
7- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
26999f |
Isogeny class |
Conductor |
26999 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7848 |
Modular degree for the optimal curve |
Δ |
-22706159 = -1 · 72 · 19 · 293 |
Discriminant |
Eigenvalues |
-1 1 3 7- 4 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-449,3632] |
[a1,a2,a3,a4,a6] |
j |
-204327634273/463391 |
j-invariant |
L |
2.1452714135186 |
L(r)(E,1)/r! |
Ω |
2.1452714135194 |
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 |
26999c1 |
Quadratic twists by: -7 |