Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
65268v |
Isogeny class |
Conductor |
65268 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
1.161723819785E+21 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 0 -4 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2911188,-982847635] |
[a1,a2,a3,a4,a6] |
Generators |
[3534908912883005:151591386060129330:1201496069591] |
Generators of the group modulo torsion |
j |
1988376942198784/846578321253 |
j-invariant |
L |
8.5420715515031 |
L(r)(E,1)/r! |
Ω |
0.12008991961414 |
Real period |
R |
17.782657316573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000095 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21756j1 9324d1 |
Quadratic twists by: -3 -7 |