Atkin-Lehner |
2+ 3+ 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
49770d |
Isogeny class |
Conductor |
49770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2785536 |
Modular degree for the optimal curve |
Δ |
-5.9735228112E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 6 3 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10189950,-12523027564] |
[a1,a2,a3,a4,a6] |
Generators |
[840919795:139914534619:29791] |
Generators of the group modulo torsion |
j |
-5944955425395373552563/3034864000000000 |
j-invariant |
L |
4.7561592476029 |
L(r)(E,1)/r! |
Ω |
0.042248689844055 |
Real period |
R |
14.071913428436 |
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 |
49770bh1 |
Quadratic twists by: -3 |