Atkin-Lehner |
2- 3- 5- 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
97290bm |
Isogeny class |
Conductor |
97290 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
36250254000 = 24 · 36 · 53 · 232 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 1 -3 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1067,10059] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:116:1] |
Generators of the group modulo torsion |
j |
184122897769/49726000 |
j-invariant |
L |
11.093205504908 |
L(r)(E,1)/r! |
Ω |
1.080861100657 |
Real period |
R |
0.42763764496055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000916 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10810a1 |
Quadratic twists by: -3 |