Atkin-Lehner |
2- 3+ 11- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
110682bi |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-27707815550844 = -1 · 22 · 39 · 114 · 13 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11- 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4561,222643] |
[a1,a2,a3,a4,a6] |
Generators |
[719:19000:1] |
Generators of the group modulo torsion |
j |
533214439029/1407702868 |
j-invariant |
L |
14.524460592364 |
L(r)(E,1)/r! |
Ω |
0.46643795198509 |
Real period |
R |
3.8923881829469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009148 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110682f2 |
Quadratic twists by: -3 |