Atkin-Lehner |
2- 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
13350p |
Isogeny class |
Conductor |
13350 |
Conductor |
∏ cp |
250 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
-4408516332748800 = -1 · 225 · 310 · 52 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -3 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,21722,2949092] |
[a1,a2,a3,a4,a6] |
Generators |
[116:2594:1] |
Generators of the group modulo torsion |
j |
45340038226926455/176340653309952 |
j-invariant |
L |
8.7655570437719 |
L(r)(E,1)/r! |
Ω |
0.31087224332448 |
Real period |
R |
2.8196653873092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
106800bc1 40050o1 13350d2 |
Quadratic twists by: -4 -3 5 |