Atkin-Lehner |
2- 3- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
8946r |
Isogeny class |
Conductor |
8946 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1429392175218 = 2 · 310 · 74 · 712 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -2 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7124,-222379] |
[a1,a2,a3,a4,a6] |
Generators |
[117510:684271:1000] |
Generators of the group modulo torsion |
j |
54841681585657/1960757442 |
j-invariant |
L |
6.9481627297838 |
L(r)(E,1)/r! |
Ω |
0.5208070003752 |
Real period |
R |
6.6705734799822 |
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 |
71568ca2 2982d2 62622ce2 |
Quadratic twists by: -4 -3 -7 |