Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21294cs |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
84672 |
Modular degree for the optimal curve |
Δ |
-31380156860598 = -1 · 2 · 36 · 73 · 137 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 1 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5038,230455] |
[a1,a2,a3,a4,a6] |
j |
4019679/8918 |
j-invariant |
L |
2.746154480228 |
L(r)(E,1)/r! |
Ω |
0.45769241337132 |
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 |
2366g1 1638g1 |
Quadratic twists by: -3 13 |