Atkin-Lehner |
2- 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
52390f |
Isogeny class |
Conductor |
52390 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
1615680 |
Modular degree for the optimal curve |
Δ |
-17286223155036160 = -1 · 217 · 5 · 134 · 314 |
Discriminant |
Eigenvalues |
2- -2 5- 5 3 13+ -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1209790,-512308668] |
[a1,a2,a3,a4,a6] |
j |
-6856149775935224401/605238722560 |
j-invariant |
L |
4.8943911257788 |
L(r)(E,1)/r! |
Ω |
0.071976340068449 |
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 |
52390a1 |
Quadratic twists by: 13 |