Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17325u |
Isogeny class |
Conductor |
17325 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-153825942620109375 = -1 · 38 · 56 · 7 · 118 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6970,18866972] |
[a1,a2,a3,a4,a6] |
Generators |
[15:4348:1] |
Generators of the group modulo torsion |
j |
3288008303/13504609503 |
j-invariant |
L |
2.7611195492184 |
L(r)(E,1)/r! |
Ω |
0.25520981383475 |
Real period |
R |
1.3523772399904 |
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 |
5775n6 693d6 121275eq5 |
Quadratic twists by: -3 5 -7 |