Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4550i |
Isogeny class |
Conductor |
4550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-1119591200 = -1 · 25 · 52 · 72 · 134 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -1 13- -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-175,-1915] |
[a1,a2,a3,a4,a6] |
Generators |
[19:36:1] |
Generators of the group modulo torsion |
j |
-23920470625/44783648 |
j-invariant |
L |
2.2502285461478 |
L(r)(E,1)/r! |
Ω |
0.61774195905127 |
Real period |
R |
0.45533343517812 |
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 |
36400bm1 40950ei1 4550v1 31850f1 |
Quadratic twists by: -4 -3 5 -7 |