Atkin-Lehner |
2+ 7+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
78064a |
Isogeny class |
Conductor |
78064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-16872460688384 = -1 · 210 · 73 · 17 · 414 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ -2 -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2539,-203670] |
[a1,a2,a3,a4,a6] |
j |
-1767713416452/16477012391 |
j-invariant |
L |
2.3503887147493 |
L(r)(E,1)/r! |
Ω |
0.29379858833354 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39032a1 |
Quadratic twists by: -4 |