Atkin-Lehner |
2+ 7- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
59878i |
Isogeny class |
Conductor |
59878 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-2.815778084854E+20 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 0 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12301720,-16631956578] |
[a1,a2,a3,a4,a6] |
Generators |
[481028801604951477636645695211287051294480892543927:-35770367100737700874411289287040231353061475720660861:64866325776222885291375923215805884271104497281] |
Generators of the group modulo torsion |
j |
-1749979819974227829625/2393371881489862 |
j-invariant |
L |
6.373274985281 |
L(r)(E,1)/r! |
Ω |
0.040303474520537 |
Real period |
R |
79.066073844743 |
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 |
8554f1 |
Quadratic twists by: -7 |