Atkin-Lehner |
2+ 3- 23- 71- |
Signs for the Atkin-Lehner involutions |
Class |
9798g |
Isogeny class |
Conductor |
9798 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
827797398547968 = 29 · 316 · 232 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 4 4 6 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-190734,32016064] |
[a1,a2,a3,a4,a6] |
j |
767369951468382794329/827797398547968 |
j-invariant |
L |
3.9965316916826 |
L(r)(E,1)/r! |
Ω |
0.49956646146033 |
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 |
78384l2 29394f2 |
Quadratic twists by: -4 -3 |