Atkin-Lehner |
2- 7- 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
128674q |
Isogeny class |
Conductor |
128674 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
7907328 |
Modular degree for the optimal curve |
Δ |
-7295032480978837504 = -1 · 213 · 714 · 13 · 101 |
Discriminant |
Eigenvalues |
2- -2 3 7- -4 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19004259,31886478721] |
[a1,a2,a3,a4,a6] |
Generators |
[2510:-2039:1] |
Generators of the group modulo torsion |
j |
-6451909919482881383713/62006752976896 |
j-invariant |
L |
9.2462785718294 |
L(r)(E,1)/r! |
Ω |
0.21244570050498 |
Real period |
R |
1.6739623387065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999227015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18382h1 |
Quadratic twists by: -7 |