Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20400bz |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1391040 |
Modular degree for the optimal curve |
Δ |
-5.3701655167645E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -2 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5628808,6234990832] |
[a1,a2,a3,a4,a6] |
j |
-192607474931043120625/52443022624653312 |
j-invariant |
L |
0.25789164427122 |
L(r)(E,1)/r! |
Ω |
0.12894582213562 |
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 |
2550j1 81600if1 61200gb1 20400dy1 |
Quadratic twists by: -4 8 -3 5 |