Atkin-Lehner |
17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
10693g |
Isogeny class |
Conductor |
10693 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
893090053 = 176 · 37 |
Discriminant |
Eigenvalues |
-2 3 2 1 5 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-289,1228] |
[a1,a2,a3,a4,a6] |
j |
110592/37 |
j-invariant |
L |
2.9040814551371 |
L(r)(E,1)/r! |
Ω |
1.4520407275686 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96237o1 37a1 |
Quadratic twists by: -3 17 |