Atkin-Lehner |
2- 3+ 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37950ca |
Isogeny class |
Conductor |
37950 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
672000 |
Modular degree for the optimal curve |
Δ |
10744233984000000 = 225 · 34 · 56 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 11- -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1547713,-741739969] |
[a1,a2,a3,a4,a6] |
Generators |
[-721:432:1] |
Generators of the group modulo torsion |
j |
26240674555395219529/687630974976 |
j-invariant |
L |
8.5975940830112 |
L(r)(E,1)/r! |
Ω |
0.13535603637307 |
Real period |
R |
1.2703672940476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113850bl1 1518i1 |
Quadratic twists by: -3 5 |