Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40460f |
Isogeny class |
Conductor |
40460 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
260324106486214400 = 28 · 52 · 73 · 179 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8995703,-10384834098] |
[a1,a2,a3,a4,a6] |
Generators |
[-216705:11298:125] |
Generators of the group modulo torsion |
j |
2651848930512/8575 |
j-invariant |
L |
4.7481657058614 |
L(r)(E,1)/r! |
Ω |
0.087174780360068 |
Real period |
R |
6.0519104853368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40460j2 |
Quadratic twists by: 17 |