Atkin-Lehner |
2+ 7- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13202g |
Isogeny class |
Conductor |
13202 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
585972407048 = 23 · 72 · 232 · 414 |
Discriminant |
Eigenvalues |
2+ 2 0 7- -4 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-22325,-1292731] |
[a1,a2,a3,a4,a6] |
Generators |
[7275:91226:27] |
Generators of the group modulo torsion |
j |
1230632868197265625/585972407048 |
j-invariant |
L |
5.0812647874403 |
L(r)(E,1)/r! |
Ω |
0.39058140747185 |
Real period |
R |
6.5047448371009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105616m2 118818bh2 92414n2 |
Quadratic twists by: -4 -3 -7 |