Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21294v |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
-462606272438935716 = -1 · 22 · 310 · 74 · 138 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ -4 13+ 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-143766,-38836472] |
[a1,a2,a3,a4,a6] |
j |
-552611137/777924 |
j-invariant |
L |
0.93296534431673 |
L(r)(E,1)/r! |
Ω |
0.11662066803959 |
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 |
7098r1 21294co1 |
Quadratic twists by: -3 13 |