Atkin-Lehner |
2+ 7+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
109648c |
Isogeny class |
Conductor |
109648 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
301056 |
Modular degree for the optimal curve |
Δ |
-517889131848704 = -1 · 210 · 72 · 114 · 893 |
Discriminant |
Eigenvalues |
2+ -1 -1 7+ 11- 4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40936,-3357088] |
[a1,a2,a3,a4,a6] |
Generators |
[262:1958:1] |
Generators of the group modulo torsion |
j |
-7408846150084516/505751105321 |
j-invariant |
L |
3.6587270922 |
L(r)(E,1)/r! |
Ω |
0.16716131152141 |
Real period |
R |
0.45598757521537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969868 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54824a1 |
Quadratic twists by: -4 |