Atkin-Lehner |
3- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
4305g |
Isogeny class |
Conductor |
4305 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-282515625 = -1 · 32 · 56 · 72 · 41 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 0 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,164,41] |
[a1,a2,a3,a4,a6] |
Generators |
[5:29:1] |
Generators of the group modulo torsion |
j |
487629237311/282515625 |
j-invariant |
L |
2.5647938042436 |
L(r)(E,1)/r! |
Ω |
1.0407780324568 |
Real period |
R |
1.2321521612967 |
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 |
68880bk2 12915o2 21525g2 30135m2 |
Quadratic twists by: -4 -3 5 -7 |