Atkin-Lehner |
2- 3+ 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
62244b |
Isogeny class |
Conductor |
62244 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1228800 |
Modular degree for the optimal curve |
Δ |
-54849058268881968 = -1 · 24 · 33 · 78 · 132 · 194 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 4 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-866592,-310710475] |
[a1,a2,a3,a4,a6] |
j |
-166603450513650352128/126965412659449 |
j-invariant |
L |
0.31293636415195 |
L(r)(E,1)/r! |
Ω |
0.078234091139014 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62244a1 |
Quadratic twists by: -3 |