Atkin-Lehner |
3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
19425t |
Isogeny class |
Conductor |
19425 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1248 |
Modular degree for the optimal curve |
Δ |
-19425 = -1 · 3 · 52 · 7 · 37 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -5 1 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1,-7] |
[a1,a2,a3,a4,a6] |
Generators |
[63:469:1] |
Generators of the group modulo torsion |
j |
-625/777 |
j-invariant |
L |
7.2522413166612 |
L(r)(E,1)/r! |
Ω |
1.7420229920421 |
Real period |
R |
4.1631145798827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58275t1 19425l1 |
Quadratic twists by: -3 5 |