Atkin-Lehner |
2- 3- 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
69030bf |
Isogeny class |
Conductor |
69030 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
-4637755699200 = -1 · 212 · 310 · 52 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1867,98381] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-368:1] |
Generators of the group modulo torsion |
j |
987750361079/6361804800 |
j-invariant |
L |
8.168751669838 |
L(r)(E,1)/r! |
Ω |
0.56048431825104 |
Real period |
R |
0.60726882410404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001083 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23010h1 |
Quadratic twists by: -3 |