Atkin-Lehner |
2- 3- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
48480v |
Isogeny class |
Conductor |
48480 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-3067875000000 = -1 · 26 · 35 · 59 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -5 -6 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2750,-62500] |
[a1,a2,a3,a4,a6] |
Generators |
[50:450:1] [25:150:1] |
Generators of the group modulo torsion |
j |
35923933583936/47935546875 |
j-invariant |
L |
10.538962150192 |
L(r)(E,1)/r! |
Ω |
0.42637845430947 |
Real period |
R |
0.27463765643651 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48480k1 96960ch1 |
Quadratic twists by: -4 8 |