Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966by |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6.5629008865707E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-123222237,-526489962344] |
[a1,a2,a3,a4,a6] |
Generators |
[314410349340446094075498538:-138056876257841045231173017331:1628898229444409022763] |
Generators of the group modulo torsion |
j |
14830727012009/4704 |
j-invariant |
L |
4.0568852695228 |
L(r)(E,1)/r! |
Ω |
0.045313466917256 |
Real period |
R |
44.76467531748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003456 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12138a2 84966s2 |
Quadratic twists by: -7 17 |