Atkin-Lehner |
2+ 3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
17430q |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-353021293800 = -1 · 23 · 32 · 52 · 73 · 833 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 3 -4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18953,-1006252] |
[a1,a2,a3,a4,a6] |
j |
-752878092784212361/353021293800 |
j-invariant |
L |
2.4413038986944 |
L(r)(E,1)/r! |
Ω |
0.20344199155787 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52290ce2 87150ca2 122010e2 |
Quadratic twists by: -3 5 -7 |