Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97104r |
Isogeny class |
Conductor |
97104 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
4.4661635663034E+23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3275949192,-72170610317820] |
[a1,a2,a3,a4,a6] |
j |
157304700372188331121828/18069292138401 |
j-invariant |
L |
4.3104142460717 |
L(r)(E,1)/r! |
Ω |
0.019955621970636 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48552z2 5712g2 |
Quadratic twists by: -4 17 |