Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
94864cn |
Isogeny class |
Conductor |
94864 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-9637081406898176 = -1 · 217 · 73 · 118 |
Discriminant |
Eigenvalues |
2- -1 -2 7- 11- -1 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-90064,11455424] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:3872:1] [152:1120:1] |
Generators of the group modulo torsion |
j |
-268279/32 |
j-invariant |
L |
7.6692503497646 |
L(r)(E,1)/r! |
Ω |
0.3972130519553 |
Real period |
R |
0.80448539222436 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000249 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11858bf1 94864cf1 94864cm1 |
Quadratic twists by: -4 -7 -11 |