Atkin-Lehner |
2- 3+ 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
76650bt |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
870912 |
Modular degree for the optimal curve |
Δ |
-770066620312500 = -1 · 22 · 39 · 58 · 73 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 7 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-45588,3958281] |
[a1,a2,a3,a4,a6] |
j |
-670588189536889/49284263700 |
j-invariant |
L |
1.982321476087 |
L(r)(E,1)/r! |
Ω |
0.49558035399485 |
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 |
15330i1 |
Quadratic twists by: 5 |