Atkin-Lehner |
2- 3- 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
119280cp |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-6894712258560 = -1 · 221 · 33 · 5 · 73 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 5 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19360,1038068] |
[a1,a2,a3,a4,a6] |
Generators |
[218:2688:1] |
Generators of the group modulo torsion |
j |
-195930594145441/1683279360 |
j-invariant |
L |
9.7402142060545 |
L(r)(E,1)/r! |
Ω |
0.75141816709092 |
Real period |
R |
0.36006782708153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999656166 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910ba1 |
Quadratic twists by: -4 |