Atkin-Lehner |
2+ 3- 83- |
Signs for the Atkin-Lehner involutions |
Class |
47808ba |
Isogeny class |
Conductor |
47808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
174080 |
Modular degree for the optimal curve |
Δ |
-941004864 = -1 · 26 · 311 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 3 -2 3 4 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-327891,72267388] |
[a1,a2,a3,a4,a6] |
Generators |
[41320:162:125] |
Generators of the group modulo torsion |
j |
-83561205858628672/20169 |
j-invariant |
L |
7.7099558272844 |
L(r)(E,1)/r! |
Ω |
0.92250797686055 |
Real period |
R |
2.0894008563291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999906 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47808p1 23904s1 15936k1 |
Quadratic twists by: -4 8 -3 |