Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680ff |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
571307385600000000 = 214 · 37 · 58 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-248547,-30858014] |
[a1,a2,a3,a4,a6] |
Generators |
[-193:3150:1] |
Generators of the group modulo torsion |
j |
568671957006049/191329687500 |
j-invariant |
L |
6.7613734667165 |
L(r)(E,1)/r! |
Ω |
0.21962458061476 |
Real period |
R |
1.9241281654743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006589 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10710m4 28560dd3 |
Quadratic twists by: -4 -3 |