Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
8470y |
Isogeny class |
Conductor |
8470 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
Δ |
-3001024334000000 = -1 · 27 · 56 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 11- -7 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-78477396,-267593527024] |
[a1,a2,a3,a4,a6] |
j |
-249353795628717731809/14000000 |
j-invariant |
L |
3.1956113727697 |
L(r)(E,1)/r! |
Ω |
0.025361995021982 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67760be2 76230cr2 42350l2 59290en2 |
Quadratic twists by: -4 -3 5 -7 |