Atkin-Lehner |
5- 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
73255s |
Isogeny class |
Conductor |
73255 |
Conductor |
∏ cp |
105 |
Product of Tamagawa factors cp |
deg |
3492720 |
Modular degree for the optimal curve |
Δ |
1.2997131334239E+20 |
Discriminant |
Eigenvalues |
-1 -3 5- 7- 2 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1345182,244777614] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:-18649:1] |
Generators of the group modulo torsion |
j |
2288117440553811489/1104737935234375 |
j-invariant |
L |
2.7612883725868 |
L(r)(E,1)/r! |
Ω |
0.16473795759385 |
Real period |
R |
0.15963524661676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1495b1 |
Quadratic twists by: -7 |