Atkin-Lehner |
2- 3- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
2982k |
Isogeny class |
Conductor |
2982 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
1296 |
Modular degree for the optimal curve |
Δ |
-42081984 = -1 · 26 · 33 · 73 · 71 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 3 -7 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-49,-343] |
[a1,a2,a3,a4,a6] |
j |
-13027640977/42081984 |
j-invariant |
L |
4.9873910094361 |
L(r)(E,1)/r! |
Ω |
0.83123183490601 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
23856q1 95424o1 8946l1 74550h1 |
Quadratic twists by: -4 8 -3 5 |