Atkin-Lehner |
2- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
17168o |
Isogeny class |
Conductor |
17168 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-10163456 = -1 · 28 · 29 · 372 |
Discriminant |
Eigenvalues |
2- -3 1 2 -5 7 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-247,-1502] |
[a1,a2,a3,a4,a6] |
j |
-6509904336/39701 |
j-invariant |
L |
1.2038351288016 |
L(r)(E,1)/r! |
Ω |
0.60191756440081 |
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 |
4292c1 68672r1 |
Quadratic twists by: -4 8 |