Atkin-Lehner |
2- 3+ 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
108240y |
Isogeny class |
Conductor |
108240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
-94924167425556480 = -1 · 232 · 34 · 5 · 113 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,41800,-14467728] |
[a1,a2,a3,a4,a6] |
Generators |
[29474441106060:-100998998556672:154422002125] |
Generators of the group modulo torsion |
j |
1971887888896199/23174845562880 |
j-invariant |
L |
6.0731362508336 |
L(r)(E,1)/r! |
Ω |
0.16611097124721 |
Real period |
R |
18.280358675789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999704734 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13530k1 |
Quadratic twists by: -4 |