Atkin-Lehner |
2+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
12400i |
Isogeny class |
Conductor |
12400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-496000000 = -1 · 210 · 56 · 31 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 -2 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,192,388] |
[a1,a2,a3,a4,a6] |
Generators |
[2:28:1] [8:50:1] |
Generators of the group modulo torsion |
j |
48668/31 |
j-invariant |
L |
4.7434457098417 |
L(r)(E,1)/r! |
Ω |
1.0302688303706 |
Real period |
R |
1.151021357245 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6200b1 49600cg1 111600bg1 496c1 |
Quadratic twists by: -4 8 -3 5 |