Atkin-Lehner |
2- 3- 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
116130dd |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
722473762500 = 22 · 33 · 55 · 73 · 792 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11936,499260] |
[a1,a2,a3,a4,a6] |
Generators |
[4:670:1] |
Generators of the group modulo torsion |
j |
548287439032423/2106337500 |
j-invariant |
L |
13.469600654075 |
L(r)(E,1)/r! |
Ω |
0.90647955542447 |
Real period |
R |
2.4765406216759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002754 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116130ct1 |
Quadratic twists by: -7 |