Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280fq |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
3485754718709760000 = 214 · 310 · 54 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7408947,7761644786] |
[a1,a2,a3,a4,a6] |
Generators |
[1177:25920:1] |
Generators of the group modulo torsion |
j |
128031684631201/9922500 |
j-invariant |
L |
6.6134351872882 |
L(r)(E,1)/r! |
Ω |
0.23845634145049 |
Real period |
R |
1.7333978064548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4410t3 11760br3 5040bg3 |
Quadratic twists by: -4 -3 -7 |