Atkin-Lehner |
2+ 13+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
81328c |
Isogeny class |
Conductor |
81328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4070303744 = 211 · 13 · 172 · 232 |
Discriminant |
Eigenvalues |
2+ -2 -2 -4 -4 13+ 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-424,1236] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:20:1] [-20:46:1] [-14:68:1] |
Generators of the group modulo torsion |
j |
4125866834/1987453 |
j-invariant |
L |
8.7660903954276 |
L(r)(E,1)/r! |
Ω |
1.2367442880622 |
Real period |
R |
1.7720094768275 |
Regulator |
r |
3 |
Rank of the group of rational points |
S |
0.9999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40664b2 |
Quadratic twists by: -4 |