Atkin-Lehner |
2- 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
3654p |
Isogeny class |
Conductor |
3654 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-26882726472 = -1 · 23 · 39 · 7 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -3 -1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2405,-45467] |
[a1,a2,a3,a4,a6] |
Generators |
[73:368:1] |
Generators of the group modulo torsion |
j |
-78128296875/1365784 |
j-invariant |
L |
5.1214428704526 |
L(r)(E,1)/r! |
Ω |
0.34052918118148 |
Real period |
R |
2.506609885181 |
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 |
29232q2 116928p2 3654d1 91350c2 |
Quadratic twists by: -4 8 -3 5 |