Atkin-Lehner |
2+ 3- 7- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
100674w |
Isogeny class |
Conductor |
100674 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4223575306484448768 = 29 · 322 · 7 · 17 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 2 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2866725,-1864881387] |
[a1,a2,a3,a4,a6] |
j |
3573998537795243787601/5793656113147392 |
j-invariant |
L |
3.7131740901376 |
L(r)(E,1)/r! |
Ω |
0.11603668776848 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33558bn2 |
Quadratic twists by: -3 |