Atkin-Lehner |
3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
19425u |
Isogeny class |
Conductor |
19425 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
112434328125 = 34 · 56 · 74 · 37 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5163,-142308] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:30:1] |
Generators of the group modulo torsion |
j |
974126411497/7195797 |
j-invariant |
L |
4.3417232480552 |
L(r)(E,1)/r! |
Ω |
0.56346504282312 |
Real period |
R |
0.96317493501947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58275q4 777a3 |
Quadratic twists by: -3 5 |