Atkin-Lehner |
2+ 7- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
85162s |
Isogeny class |
Conductor |
85162 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-2547333347012608 = -1 · 212 · 77 · 112 · 792 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- 11- 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,33099,738221] |
[a1,a2,a3,a4,a6] |
j |
34084708870967/21651976192 |
j-invariant |
L |
2.2728290739252 |
L(r)(E,1)/r! |
Ω |
0.28410364159377 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12166g1 |
Quadratic twists by: -7 |