Atkin-Lehner |
2+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
80920d |
Isogeny class |
Conductor |
80920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1253376 |
Modular degree for the optimal curve |
Δ |
-1148948284400000000 = -1 · 210 · 58 · 7 · 177 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 6 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-470203,-134390202] |
[a1,a2,a3,a4,a6] |
j |
-465142919364/46484375 |
j-invariant |
L |
3.2632267694179 |
L(r)(E,1)/r! |
Ω |
0.090645189379325 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4760c1 |
Quadratic twists by: 17 |