Atkin-Lehner |
2- 3+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
85008bi |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-629041578312204288 = -1 · 222 · 33 · 73 · 113 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11- -1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-487771630288,131121363921578944] |
[a1,a2,a3,a4,a6] |
j |
-3133382230165522315000208250857964625/153574604080128 |
j-invariant |
L |
0.84071221372447 |
L(r)(E,1)/r! |
Ω |
0.046706234306384 |
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 |
10626p2 |
Quadratic twists by: -4 |