Atkin-Lehner |
3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
3675l |
Isogeny class |
Conductor |
3675 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
20266878515625 = 32 · 58 · 78 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9213,261792] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:609:1] |
Generators of the group modulo torsion |
j |
47045881/11025 |
j-invariant |
L |
2.6542555471023 |
L(r)(E,1)/r! |
Ω |
0.64281407676577 |
Real period |
R |
2.0645592894113 |
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 |
58800fj2 11025x2 735a2 525a2 |
Quadratic twists by: -4 -3 5 -7 |