Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
20832r |
Isogeny class |
Conductor |
20832 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-173661218304 = -1 · 29 · 3 · 76 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3512,81420] |
[a1,a2,a3,a4,a6] |
Generators |
[330:735:8] |
Generators of the group modulo torsion |
j |
-9359247393224/339182067 |
j-invariant |
L |
7.3058606433162 |
L(r)(E,1)/r! |
Ω |
1.0097020587693 |
Real period |
R |
2.4118866154178 |
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 |
20832e2 41664cw2 62496bt2 |
Quadratic twists by: -4 8 -3 |