Atkin-Lehner |
2+ 3- 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
36312d |
Isogeny class |
Conductor |
36312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-42193963008 = -1 · 211 · 32 · 172 · 892 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 0 -4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-120,-9936] |
[a1,a2,a3,a4,a6] |
Generators |
[59:438:1] |
Generators of the group modulo torsion |
j |
-94091762/20602521 |
j-invariant |
L |
4.3911967647012 |
L(r)(E,1)/r! |
Ω |
0.51021407754249 |
Real period |
R |
4.3032885194504 |
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 |
72624d2 108936n2 |
Quadratic twists by: -4 -3 |