Atkin-Lehner |
2- 3+ 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
85932j |
Isogeny class |
Conductor |
85932 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
81408 |
Modular degree for the optimal curve |
Δ |
-21960094464 = -1 · 28 · 33 · 7 · 114 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11+ -7 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,624,-3852] |
[a1,a2,a3,a4,a6] |
j |
3887529984/3177097 |
j-invariant |
L |
2.675300792695 |
L(r)(E,1)/r! |
Ω |
0.66882518069986 |
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 |
85932r1 |
Quadratic twists by: -3 |