Atkin-Lehner |
2- 3- 5+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
52470w |
Isogeny class |
Conductor |
52470 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
26449920 |
Modular degree for the optimal curve |
Δ |
1.1707516410936E+27 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-308917283,-1287294319389] |
[a1,a2,a3,a4,a6] |
Generators |
[6529255:1394779434:125] |
Generators of the group modulo torsion |
j |
4472216317643458739376217321/1605969329346509645168640 |
j-invariant |
L |
6.8228661609431 |
L(r)(E,1)/r! |
Ω |
0.037085296756529 |
Real period |
R |
6.570630755952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17490e1 |
Quadratic twists by: -3 |