Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3465t |
Isogeny class |
Conductor |
3465 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-41113037109375 = -1 · 37 · 512 · 7 · 11 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8158,-123384] |
[a1,a2,a3,a4,a6] |
Generators |
[71:864:1] |
Generators of the group modulo torsion |
j |
82375335041831/56396484375 |
j-invariant |
L |
2.4467314731857 |
L(r)(E,1)/r! |
Ω |
0.36490390908577 |
Real period |
R |
1.1175231854489 |
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 |
55440eb3 1155c4 17325p4 24255bi3 |
Quadratic twists by: -4 -3 5 -7 |