Atkin-Lehner |
2- 3+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
125400cf |
Isogeny class |
Conductor |
125400 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
264960 |
Modular degree for the optimal curve |
Δ |
-22634700000000 = -1 · 28 · 3 · 58 · 11 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11+ -1 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6292,-126588] |
[a1,a2,a3,a4,a6] |
Generators |
[28:266:1] [142:-1900:1] |
Generators of the group modulo torsion |
j |
275436080/226347 |
j-invariant |
L |
9.674027107735 |
L(r)(E,1)/r! |
Ω |
0.3749466627558 |
Real period |
R |
0.71669653830601 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988236 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125400bd1 |
Quadratic twists by: 5 |