Atkin-Lehner |
2+ 3- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
20874k |
Isogeny class |
Conductor |
20874 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
3763200 |
Modular degree for the optimal curve |
Δ |
8.4081431333253E+24 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -4 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-54908348,-71151166726] |
[a1,a2,a3,a4,a6] |
Generators |
[-763155:24269387:125] |
Generators of the group modulo torsion |
j |
3175810009311517144441/1458531375727509504 |
j-invariant |
L |
4.820731080452 |
L(r)(E,1)/r! |
Ω |
0.057941908629643 |
Real period |
R |
2.9714065558227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62622bs1 20874i1 |
Quadratic twists by: -3 -7 |