Atkin-Lehner |
2- 3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650di |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
5769792000000 = 212 · 35 · 56 · 7 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-47488,-3985408] |
[a1,a2,a3,a4,a6] |
Generators |
[-124:80:1] |
Generators of the group modulo torsion |
j |
757976769362233/369266688 |
j-invariant |
L |
11.740142799869 |
L(r)(E,1)/r! |
Ω |
0.32341952561868 |
Real period |
R |
1.2100014449682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2226b1 |
Quadratic twists by: 5 |