Atkin-Lehner |
2- 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
85054d |
Isogeny class |
Conductor |
85054 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
1907136 |
Modular degree for the optimal curve |
Δ |
-550560985876117504 = -1 · 211 · 23 · 438 |
Discriminant |
Eigenvalues |
2- 2 3 0 -4 2 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-627774,194487419] |
[a1,a2,a3,a4,a6] |
j |
-2340917377/47104 |
j-invariant |
L |
9.6345721319884 |
L(r)(E,1)/r! |
Ω |
0.29195673341322 |
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 |
85054c1 |
Quadratic twists by: -43 |