Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3465t |
Isogeny class |
Conductor |
3465 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
9609962583375 = 37 · 53 · 74 · 114 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19112,1010724] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:1371:1] |
Generators of the group modulo torsion |
j |
1058993490188089/13182390375 |
j-invariant |
L |
2.4467314731857 |
L(r)(E,1)/r! |
Ω |
0.72980781817154 |
Real period |
R |
0.27938079636223 |
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 |
55440eb4 1155c3 17325p3 24255bi4 |
Quadratic twists by: -4 -3 5 -7 |