Atkin-Lehner |
2- 3+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
85008bp |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-31748764776309504 = -1 · 28 · 314 · 7 · 115 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 11- 6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34749,-8916399] |
[a1,a2,a3,a4,a6] |
j |
-18126884936015872/124018612407459 |
j-invariant |
L |
3.1067161177256 |
L(r)(E,1)/r! |
Ω |
0.15533580537598 |
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 |
21252m1 |
Quadratic twists by: -4 |