Atkin-Lehner |
3- 5- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
9345g |
Isogeny class |
Conductor |
9345 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
87329025 = 32 · 52 · 72 · 892 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-200,975] |
[a1,a2,a3,a4,a6] |
Generators |
[15:30:1] |
Generators of the group modulo torsion |
j |
885012508801/87329025 |
j-invariant |
L |
3.6578617852271 |
L(r)(E,1)/r! |
Ω |
1.8594776738593 |
Real period |
R |
1.9671447722388 |
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 |
28035e2 46725c2 65415d2 |
Quadratic twists by: -3 5 -7 |