Atkin-Lehner |
2- 3+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
122976t |
Isogeny class |
Conductor |
122976 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
109312 |
Modular degree for the optimal curve |
Δ |
-694464164352 = -1 · 29 · 33 · 77 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -1 -1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2181,-8402] |
[a1,a2,a3,a4,a6] |
Generators |
[69:686:1] |
Generators of the group modulo torsion |
j |
82995965928/50236123 |
j-invariant |
L |
8.1362596389809 |
L(r)(E,1)/r! |
Ω |
0.52583019680647 |
Real period |
R |
0.55261318969012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999690128 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122976a1 122976e1 |
Quadratic twists by: -4 -3 |