Atkin-Lehner |
2+ 5+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
57680d |
Isogeny class |
Conductor |
57680 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
85632 |
Modular degree for the optimal curve |
Δ |
-124086753280 = -1 · 211 · 5 · 76 · 103 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- -3 1 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4816,-128160] |
[a1,a2,a3,a4,a6] |
j |
-6033139521698/60589235 |
j-invariant |
L |
3.4364626534539 |
L(r)(E,1)/r! |
Ω |
0.28637188781153 |
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 |
28840f1 |
Quadratic twists by: -4 |