Atkin-Lehner |
3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83259m |
Isogeny class |
Conductor |
83259 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
151200 |
Modular degree for the optimal curve |
Δ |
-4769888211099 = -1 · 36 · 11 · 296 |
Discriminant |
Eigenvalues |
-2 3- -1 -2 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2523,-115848] |
[a1,a2,a3,a4,a6] |
Generators |
[1218:42470:1] |
Generators of the group modulo torsion |
j |
-4096/11 |
j-invariant |
L |
2.3558478541132 |
L(r)(E,1)/r! |
Ω |
0.31280311620989 |
Real period |
R |
3.7657039408021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970277 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9251a1 99d1 |
Quadratic twists by: -3 29 |