Atkin-Lehner |
2- 3+ 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
114840q |
Isogeny class |
Conductor |
114840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
118784 |
Modular degree for the optimal curve |
Δ |
159857280000 = 210 · 33 · 54 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7107,229806] |
[a1,a2,a3,a4,a6] |
Generators |
[22:290:1] |
Generators of the group modulo torsion |
j |
1435882616172/5781875 |
j-invariant |
L |
9.1294750873795 |
L(r)(E,1)/r! |
Ω |
1.0280387058185 |
Real period |
R |
1.1100597488062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999857914 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114840b1 |
Quadratic twists by: -3 |