Atkin-Lehner |
2+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9802a |
Isogeny class |
Conductor |
9802 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-396013594374164 = -1 · 22 · 136 · 295 |
Discriminant |
Eigenvalues |
2+ -1 -1 2 3 13+ 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-76898,-8295464] |
[a1,a2,a3,a4,a6] |
Generators |
[71886:3653176:27] |
Generators of the group modulo torsion |
j |
-10418796526321/82044596 |
j-invariant |
L |
2.807218610881 |
L(r)(E,1)/r! |
Ω |
0.14328010204655 |
Real period |
R |
9.7962612071876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78416j2 88218ce2 58b2 |
Quadratic twists by: -4 -3 13 |