Atkin-Lehner |
2- 3- 5- 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
126270bp |
Isogeny class |
Conductor |
126270 |
Conductor |
∏ cp |
1204 |
Product of Tamagawa factors cp |
deg |
40801152 |
Modular degree for the optimal curve |
Δ |
-1.6165639114048E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 -5 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26929112,-200775620901] |
[a1,a2,a3,a4,a6] |
Generators |
[14957:-1663479:1] |
Generators of the group modulo torsion |
j |
-2962526654269617703148089/22175087947939840000000 |
j-invariant |
L |
13.089426506489 |
L(r)(E,1)/r! |
Ω |
0.029300560139925 |
Real period |
R |
0.37103783966877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000151163 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14030a1 |
Quadratic twists by: -3 |