Atkin-Lehner |
3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8379g |
Isogeny class |
Conductor |
8379 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
2155902983577 = 39 · 78 · 19 |
Discriminant |
Eigenvalues |
1 3- 0 7- 2 0 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5742,-150417] |
[a1,a2,a3,a4,a6] |
Generators |
[142:1301:1] |
Generators of the group modulo torsion |
j |
244140625/25137 |
j-invariant |
L |
5.0782596654636 |
L(r)(E,1)/r! |
Ω |
0.55208686488341 |
Real period |
R |
2.2995745726246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2793i1 1197e1 |
Quadratic twists by: -3 -7 |