Atkin-Lehner |
2+ 7- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
113386k |
Isogeny class |
Conductor |
113386 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-678421546712 = -1 · 23 · 77 · 13 · 892 |
Discriminant |
Eigenvalues |
2+ 3 2 7- -5 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,89,39605] |
[a1,a2,a3,a4,a6] |
Generators |
[1335:10235:27] |
Generators of the group modulo torsion |
j |
658503/5766488 |
j-invariant |
L |
10.694447101149 |
L(r)(E,1)/r! |
Ω |
0.71478676109786 |
Real period |
R |
1.8702163421529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16198f1 |
Quadratic twists by: -7 |