Atkin-Lehner |
2- 3- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
112176x |
Isogeny class |
Conductor |
112176 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1459200 |
Modular degree for the optimal curve |
Δ |
-6517180116755361792 = -1 · 212 · 311 · 194 · 413 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -5 2 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,413520,67899184] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:63099:8] |
Generators of the group modulo torsion |
j |
2618941474304000/2182590434763 |
j-invariant |
L |
6.1660660432701 |
L(r)(E,1)/r! |
Ω |
0.15374005074819 |
Real period |
R |
0.83556437384561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997189 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7011c1 37392q1 |
Quadratic twists by: -4 -3 |