Atkin-Lehner |
2+ 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
23998a |
Isogeny class |
Conductor |
23998 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
81778368568 = 23 · 134 · 713 |
Discriminant |
Eigenvalues |
2+ 1 0 -1 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1356,-13518] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:38:1] |
Generators of the group modulo torsion |
j |
9644259625/2863288 |
j-invariant |
L |
4.239623535903 |
L(r)(E,1)/r! |
Ω |
0.80481520653337 |
Real period |
R |
1.7559407847029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23998k2 |
Quadratic twists by: 13 |