Atkin-Lehner |
3+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
86031a |
Isogeny class |
Conductor |
86031 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
68640 |
Modular degree for the optimal curve |
Δ |
-2754701177877 = -1 · 39 · 116 · 79 |
Discriminant |
Eigenvalues |
1 3+ 0 1 11- 3 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3063,-46810] |
[a1,a2,a3,a4,a6] |
Generators |
[30874:5409376:1] |
Generators of the group modulo torsion |
j |
91125/79 |
j-invariant |
L |
7.7263331808484 |
L(r)(E,1)/r! |
Ω |
0.44452355110945 |
Real period |
R |
8.6905779918363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000775 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86031b1 711b1 |
Quadratic twists by: -3 -11 |