Atkin-Lehner |
3- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
86031j |
Isogeny class |
Conductor |
86031 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
84000 |
Modular degree for the optimal curve |
Δ |
102025969551 = 36 · 116 · 79 |
Discriminant |
Eigenvalues |
-1 3- 3 1 11- -3 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2201,37194] |
[a1,a2,a3,a4,a6] |
Generators |
[6:152:1] [36:42:1] |
Generators of the group modulo torsion |
j |
912673/79 |
j-invariant |
L |
8.7876158413153 |
L(r)(E,1)/r! |
Ω |
1.0359013764423 |
Real period |
R |
4.2415311155308 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996732 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9559b1 711c1 |
Quadratic twists by: -3 -11 |