Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
55104dg |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
-200845922432053248 = -1 · 212 · 320 · 73 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-138713,-29377689] |
[a1,a2,a3,a4,a6] |
Generators |
[775:18144:1] |
Generators of the group modulo torsion |
j |
-72064003983544000/49034649031263 |
j-invariant |
L |
7.6703213075679 |
L(r)(E,1)/r! |
Ω |
0.12005799342678 |
Real period |
R |
1.0648078050427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55104bv1 27552s1 |
Quadratic twists by: -4 8 |