Atkin-Lehner |
3- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
83391r |
Isogeny class |
Conductor |
83391 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-8949934680544473 = -1 · 3 · 78 · 11 · 196 |
Discriminant |
Eigenvalues |
1 3- -2 7- 11+ -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,45478,-2600479] |
[a1,a2,a3,a4,a6] |
Generators |
[353:7404:1] [7630:237321:8] |
Generators of the group modulo torsion |
j |
221115865823/190238433 |
j-invariant |
L |
13.833217376269 |
L(r)(E,1)/r! |
Ω |
0.22675987022718 |
Real period |
R |
7.6254769872483 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999123 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
231a4 |
Quadratic twists by: -19 |