Atkin-Lehner |
3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
19425s |
Isogeny class |
Conductor |
19425 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
128045654296875 = 34 · 514 · 7 · 37 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2797526,1800748073] |
[a1,a2,a3,a4,a6] |
Generators |
[7734:-3373:8] |
Generators of the group modulo torsion |
j |
154962229997864551249/8194921875 |
j-invariant |
L |
7.5538807799322 |
L(r)(E,1)/r! |
Ω |
0.43963750934183 |
Real period |
R |
4.295516544551 |
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 |
58275s4 3885a4 |
Quadratic twists by: -3 5 |