Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400df |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
55801305000000000 = 29 · 313 · 510 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22963500075,-1339384407812750] |
[a1,a2,a3,a4,a6] |
Generators |
[-208146775454731337200787010804899153765461257903038568958195659666739987957194436160696036283591472:521364048761491536206809578424645750194516284940139610780255536957049194622090794031732411457:2379092198074102847023557130648567394349333989659063586817934590282706862504582039909093429248] |
Generators of the group modulo torsion |
j |
229625675762164624948320008/9568125 |
j-invariant |
L |
7.110675065061 |
L(r)(E,1)/r! |
Ω |
0.012264222862051 |
Real period |
R |
144.94752633417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50400dw4 100800mi4 16800r3 10080t2 |
Quadratic twists by: -4 8 -3 5 |