Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21756b |
Isogeny class |
Conductor |
21756 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1.5519949691175E+28 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1160623228,-13988571661112] |
[a1,a2,a3,a4,a6] |
Generators |
[2764758732632738421169372539120792117565445442908755452855428749208619696978875184109684572069605085947677446:2495255328113446820979489584391475702030859243085813330677382231124309974598948521134384875561858848536716987787:3388225604662545183937133137280089069564299644825832388689270443529058675017164634012726936405794200248] |
Generators of the group modulo torsion |
j |
5740758548094154088194000/515302327101413952387 |
j-invariant |
L |
4.3984646166685 |
L(r)(E,1)/r! |
Ω |
0.026014248043088 |
Real period |
R |
169.0790604204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87024dj2 65268g2 3108g2 |
Quadratic twists by: -4 -3 -7 |