Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
69360ck |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
528768 |
Modular degree for the optimal curve |
Δ |
-1883454509070000 = -1 · 24 · 33 · 54 · 178 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 0 5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-504401,-137731224] |
[a1,a2,a3,a4,a6] |
Generators |
[117441516:7243741650:29791] |
Generators of the group modulo torsion |
j |
-127157223424/16875 |
j-invariant |
L |
5.298692994385 |
L(r)(E,1)/r! |
Ω |
0.089571953242423 |
Real period |
R |
9.8592859384993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997422 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17340o1 69360dq1 |
Quadratic twists by: -4 17 |