Atkin-Lehner |
2+ 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
22200d |
Isogeny class |
Conductor |
22200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-657120000 = -1 · 28 · 3 · 54 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -4 -1 -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3833,92637] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:185:1] [4745:-2482:125] |
Generators of the group modulo torsion |
j |
-38934400000/4107 |
j-invariant |
L |
6.3966969060393 |
L(r)(E,1)/r! |
Ω |
1.5513058200891 |
Real period |
R |
0.17180947450861 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44400s1 66600bt1 22200s1 |
Quadratic twists by: -4 -3 5 |