Atkin-Lehner |
7+ 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
87241b |
Isogeny class |
Conductor |
87241 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1052160 |
Modular degree for the optimal curve |
Δ |
-496381292530739 = -1 · 74 · 117 · 1032 |
Discriminant |
Eigenvalues |
2 -3 3 7+ 11- 0 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-21901,1644783] |
[a1,a2,a3,a4,a6] |
j |
-655781916672/280194299 |
j-invariant |
L |
3.9224811203318 |
L(r)(E,1)/r! |
Ω |
0.49031016460193 |
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 |
7931b1 |
Quadratic twists by: -11 |