Atkin-Lehner |
2- 3- 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
84420bc |
Isogeny class |
Conductor |
84420 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
8075564859600 = 24 · 316 · 52 · 7 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5052,20221] |
[a1,a2,a3,a4,a6] |
j |
1222548865024/692349525 |
j-invariant |
L |
1.2701100237162 |
L(r)(E,1)/r! |
Ω |
0.63505501695663 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28140o1 |
Quadratic twists by: -3 |