Atkin-Lehner |
2- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
47600bp |
Isogeny class |
Conductor |
47600 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
-1487524543750000 = -1 · 24 · 58 · 77 · 172 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -5 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-125,-1855625] |
[a1,a2,a3,a4,a6] |
Generators |
[150:1225:1] |
Generators of the group modulo torsion |
j |
-34560/238003927 |
j-invariant |
L |
5.0362102704615 |
L(r)(E,1)/r! |
Ω |
0.21890114020233 |
Real period |
R |
0.54778046488458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11900e1 47600o1 |
Quadratic twists by: -4 5 |