Atkin-Lehner |
2- 7- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
72226o |
Isogeny class |
Conductor |
72226 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
117504 |
Modular degree for the optimal curve |
Δ |
-587528752888 = -1 · 23 · 77 · 113 · 67 |
Discriminant |
Eigenvalues |
2- 2 0 7- 11- -5 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2057,-7547] |
[a1,a2,a3,a4,a6] |
Generators |
[13:140:1] |
Generators of the group modulo torsion |
j |
8181353375/4993912 |
j-invariant |
L |
14.662829962348 |
L(r)(E,1)/r! |
Ω |
0.53190209079363 |
Real period |
R |
1.5314879911909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000431 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10318j1 |
Quadratic twists by: -7 |