Atkin-Lehner |
2+ 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17850b |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.405120973694E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-218371650,1228805487000] |
[a1,a2,a3,a4,a6] |
j |
73704237235978088924479009/899277423164136103500 |
j-invariant |
L |
0.84856737903928 |
L(r)(E,1)/r! |
Ω |
0.070713948253273 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
53550dj8 3570v8 124950co8 |
Quadratic twists by: -3 5 -7 |