Atkin-Lehner |
2- 3+ 5- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
40470be |
Isogeny class |
Conductor |
40470 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
1783351113890400 = 25 · 35 · 52 · 192 · 714 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -4 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-31495,-720355] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:730:1] |
Generators of the group modulo torsion |
j |
3455010821839204081/1783351113890400 |
j-invariant |
L |
8.8142133855013 |
L(r)(E,1)/r! |
Ω |
0.37900728978695 |
Real period |
R |
1.1628026192393 |
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 |
121410c2 |
Quadratic twists by: -3 |