Atkin-Lehner |
2- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
3542p |
Isogeny class |
Conductor |
3542 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
66001628 = 22 · 72 · 114 · 23 |
Discriminant |
Eigenvalues |
2- -2 0 7- 11+ -2 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-473,3901] |
[a1,a2,a3,a4,a6] |
Generators |
[10:9:1] |
Generators of the group modulo torsion |
j |
11704814052625/66001628 |
j-invariant |
L |
3.7506810682781 |
L(r)(E,1)/r! |
Ω |
1.9691204683399 |
Real period |
R |
0.95237470956769 |
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 |
28336be2 113344br2 31878s2 88550f2 |
Quadratic twists by: -4 8 -3 5 |