Atkin-Lehner |
2- 3- 5+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
52470x |
Isogeny class |
Conductor |
52470 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6137856 |
Modular degree for the optimal curve |
Δ |
-1.1749222250915E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 5 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16915073,27284168081] |
[a1,a2,a3,a4,a6] |
j |
-734205762761839770204361/16116902950500000000 |
j-invariant |
L |
4.0677460915706 |
L(r)(E,1)/r! |
Ω |
0.12711706533473 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17490p1 |
Quadratic twists by: -3 |