Atkin-Lehner |
2- 43+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
41968b |
Isogeny class |
Conductor |
41968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1110528 |
Modular degree for the optimal curve |
Δ |
-3.1747281148218E+19 |
Discriminant |
Eigenvalues |
2- 2 3 1 -3 5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-435504,-292644928] |
[a1,a2,a3,a4,a6] |
Generators |
[6205995380000651274:-7535629869419162973617:4209154280136] |
Generators of the group modulo torsion |
j |
-2230186621035147697/7750801061576704 |
j-invariant |
L |
10.822005353916 |
L(r)(E,1)/r! |
Ω |
0.085340759679337 |
Real period |
R |
31.702334835601 |
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 |
5246c1 |
Quadratic twists by: -4 |