Atkin-Lehner |
2+ 7- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
54782o |
Isogeny class |
Conductor |
54782 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
46800 |
Modular degree for the optimal curve |
Δ |
-148130528 = -1 · 25 · 72 · 133 · 43 |
Discriminant |
Eigenvalues |
2+ 1 -2 7- -4 13+ -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4772,126466] |
[a1,a2,a3,a4,a6] |
Generators |
[40:-18:1] |
Generators of the group modulo torsion |
j |
-245187375656713/3023072 |
j-invariant |
L |
2.8738993182306 |
L(r)(E,1)/r! |
Ω |
1.6649276519078 |
Real period |
R |
1.7261406612988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000529 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54782e1 |
Quadratic twists by: -7 |