Atkin-Lehner |
2- 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
23920k |
Isogeny class |
Conductor |
23920 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
202458880 = 28 · 5 · 13 · 233 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 0 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-156,-260] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:2:1] |
Generators of the group modulo torsion |
j |
1650587344/790855 |
j-invariant |
L |
3.8497469080333 |
L(r)(E,1)/r! |
Ω |
1.4158320497448 |
Real period |
R |
2.719070322449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5980b1 95680br1 119600s1 |
Quadratic twists by: -4 8 5 |