Atkin-Lehner |
2- 7- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
26572d |
Isogeny class |
Conductor |
26572 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6531840 |
Modular degree for the optimal curve |
Δ |
-9.6003073876907E+21 |
Discriminant |
Eigenvalues |
2- 0 -3 7- -2 13+ -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2345607599,-43725134696714] |
[a1,a2,a3,a4,a6] |
Generators |
[42782122434475766971822401141735:-3343773998635394458680423346852418:728487324618068230637523317] |
Generators of the group modulo torsion |
j |
-5575063605978626916975162489168/37501200733166660581 |
j-invariant |
L |
3.3001661977675 |
L(r)(E,1)/r! |
Ω |
0.010846902061461 |
Real period |
R |
50.708275645094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106288l1 |
Quadratic twists by: -4 |