Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49200dd |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3502080 |
Modular degree for the optimal curve |
Δ |
-7.50732421875E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -3 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-46770133,123097296863] |
[a1,a2,a3,a4,a6] |
Generators |
[8395401:4680333550:27] |
Generators of the group modulo torsion |
j |
-2828587024520876916736/18768310546875 |
j-invariant |
L |
8.6768550680729 |
L(r)(E,1)/r! |
Ω |
0.17302064895332 |
Real period |
R |
12.537311472031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999883 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12300e1 9840v1 |
Quadratic twists by: -4 5 |