Atkin-Lehner |
17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
10693a |
Isogeny class |
Conductor |
10693 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
893090053 = 176 · 37 |
Discriminant |
Eigenvalues |
0 -1 0 1 -3 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-541393,-153146123] |
[a1,a2,a3,a4,a6] |
Generators |
[-269991410:-266297:636056] |
Generators of the group modulo torsion |
j |
727057727488000/37 |
j-invariant |
L |
2.4498826273247 |
L(r)(E,1)/r! |
Ω |
0.17600350993371 |
Real period |
R |
6.9597550305881 |
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 |
96237e3 37b2 |
Quadratic twists by: -3 17 |