Atkin-Lehner |
2- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
12400ba |
Isogeny class |
Conductor |
12400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
15500000000 = 28 · 59 · 31 |
Discriminant |
Eigenvalues |
2- -2 5- 4 -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20708,1140088] |
[a1,a2,a3,a4,a6] |
Generators |
[906:4081:8] |
Generators of the group modulo torsion |
j |
1964215568/31 |
j-invariant |
L |
3.1313259621092 |
L(r)(E,1)/r! |
Ω |
1.1378776230641 |
Real period |
R |
5.5038009336667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3100f2 49600cq2 111600gd2 12400z2 |
Quadratic twists by: -4 8 -3 5 |