Atkin-Lehner |
2- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72200bd |
Isogeny class |
Conductor |
72200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2243520 |
Modular degree for the optimal curve |
Δ |
-6.7934252164E+19 |
Discriminant |
Eigenvalues |
2- 2 5- 1 -5 6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,285792,392074412] |
[a1,a2,a3,a4,a6] |
Generators |
[-6795843202492790316637:744406014216813276195750:40416428843144142139] |
Generators of the group modulo torsion |
j |
38 |
j-invariant |
L |
10.196054284714 |
L(r)(E,1)/r! |
Ω |
0.14678270886671 |
Real period |
R |
34.731796283894 |
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 |
72200p1 72200s1 |
Quadratic twists by: 5 -19 |