Atkin-Lehner |
3+ 5- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
23205h |
Isogeny class |
Conductor |
23205 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1376497395 = 34 · 5 · 7 · 134 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- -4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3205,68480] |
[a1,a2,a3,a4,a6] |
Generators |
[35:9:1] |
Generators of the group modulo torsion |
j |
3640963143802321/1376497395 |
j-invariant |
L |
2.361695278415 |
L(r)(E,1)/r! |
Ω |
1.4934110754034 |
Real period |
R |
1.5814100466458 |
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 |
69615m4 116025bc4 |
Quadratic twists by: -3 5 |