Atkin-Lehner |
2- 3- 7- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
33306s |
Isogeny class |
Conductor |
33306 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
12497513029092 = 22 · 32 · 76 · 13 · 613 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-60788,-5771220] |
[a1,a2,a3,a4,a6] |
j |
24841494669985890625/12497513029092 |
j-invariant |
L |
5.4730658368269 |
L(r)(E,1)/r! |
Ω |
0.30405921315719 |
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 |
99918n3 |
Quadratic twists by: -3 |