Atkin-Lehner |
3- 11- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
43263d |
Isogeny class |
Conductor |
43263 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
80598969 = 36 · 11 · 19 · 232 |
Discriminant |
Eigenvalues |
1 3- -2 -4 11- 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-108,-5] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:23:1] |
Generators of the group modulo torsion |
j |
192100033/110561 |
j-invariant |
L |
4.1134371419035 |
L(r)(E,1)/r! |
Ω |
1.6107538122611 |
Real period |
R |
2.5537342271652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4807a1 |
Quadratic twists by: -3 |