Atkin-Lehner |
2- 3- 41+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
126936b |
Isogeny class |
Conductor |
126936 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
247680 |
Modular degree for the optimal curve |
Δ |
-2212317785088 = -1 · 210 · 36 · 413 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 -6 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11811,499214] |
[a1,a2,a3,a4,a6] |
Generators |
[59:88:1] |
Generators of the group modulo torsion |
j |
-244093511812/2963603 |
j-invariant |
L |
4.5971663631256 |
L(r)(E,1)/r! |
Ω |
0.825053505969 |
Real period |
R |
2.7859807058152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000142122 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14104c1 |
Quadratic twists by: -3 |