Atkin-Lehner |
3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
28665i |
Isogeny class |
Conductor |
28665 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1797120 |
Modular degree for the optimal curve |
Δ |
822179133217157625 = 39 · 53 · 711 · 132 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -6 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-57911100,-169610897989] |
[a1,a2,a3,a4,a6] |
Generators |
[-190667432576794536933816456150:97639430438858983571311119263:43394581059334341309197577] |
Generators of the group modulo torsion |
j |
9275335480470938787/355047875 |
j-invariant |
L |
4.8413664380094 |
L(r)(E,1)/r! |
Ω |
0.054727940059169 |
Real period |
R |
44.231213825837 |
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 |
28665r1 4095d1 |
Quadratic twists by: -3 -7 |