Atkin-Lehner |
3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
19425q |
Isogeny class |
Conductor |
19425 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-1612653312498046875 = -1 · 35 · 59 · 72 · 375 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 2 -5 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-203533,70516219] |
[a1,a2,a3,a4,a6] |
Generators |
[-127:9712:1] |
Generators of the group modulo torsion |
j |
-59677458829410304/103209811999875 |
j-invariant |
L |
4.4962012668634 |
L(r)(E,1)/r! |
Ω |
0.23870986461052 |
Real period |
R |
0.18835422969215 |
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 |
58275g1 3885b1 |
Quadratic twists by: -3 5 |