Atkin-Lehner |
2+ 3- 5+ 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
111690h |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
890949320970472800 = 25 · 37 · 52 · 178 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8425260,9414889200] |
[a1,a2,a3,a4,a6] |
j |
90729005078782009287361/1222152703663200 |
j-invariant |
L |
2.0447425985499 |
L(r)(E,1)/r! |
Ω |
0.25559281288423 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37230be4 |
Quadratic twists by: -3 |