Atkin-Lehner |
2+ 3+ 5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
87450g |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
12418560 |
Modular degree for the optimal curve |
Δ |
-4.8386373738912E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- 3 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-39700250,96843796500] |
[a1,a2,a3,a4,a6] |
Generators |
[4420:85790:1] |
Generators of the group modulo torsion |
j |
-442877307391997861876641/3096727919290368000 |
j-invariant |
L |
4.0588076026281 |
L(r)(E,1)/r! |
Ω |
0.11363335250955 |
Real period |
R |
0.89296133349294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007835 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17490bb1 |
Quadratic twists by: 5 |