Atkin-Lehner |
2- 3+ 13+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38454h |
Isogeny class |
Conductor |
38454 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
7111739210472 = 23 · 314 · 13 · 17 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 4 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8108,246629] |
[a1,a2,a3,a4,a6] |
Generators |
[67:65:1] |
Generators of the group modulo torsion |
j |
58947892101906625/7111739210472 |
j-invariant |
L |
8.2228637078079 |
L(r)(E,1)/r! |
Ω |
0.7203096922949 |
Real period |
R |
3.8052446032435 |
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 |
115362c2 |
Quadratic twists by: -3 |