Atkin-Lehner |
3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21675z |
Isogeny class |
Conductor |
21675 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
Δ |
-2291183307421875 = -1 · 35 · 58 · 176 |
Discriminant |
Eigenvalues |
2 3- 5- 3 -2 1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,12042,2250119] |
[a1,a2,a3,a4,a6] |
Generators |
[3114:65021:8] |
Generators of the group modulo torsion |
j |
20480/243 |
j-invariant |
L |
13.13093994161 |
L(r)(E,1)/r! |
Ω |
0.34016590103876 |
Real period |
R |
1.2867192058847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65025ck2 21675i1 75a2 |
Quadratic twists by: -3 5 17 |