Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
67760ck |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1457608562793349120 = -1 · 215 · 5 · 73 · 1110 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11- -2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5861280,-5460168448] |
[a1,a2,a3,a4,a6] |
Generators |
[35016375072:4419693237680:2146689] |
Generators of the group modulo torsion |
j |
-209611155721/13720 |
j-invariant |
L |
10.243490495911 |
L(r)(E,1)/r! |
Ω |
0.048514295612274 |
Real period |
R |
17.59531282933 |
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 |
8470bc2 67760cc2 |
Quadratic twists by: -4 -11 |