Atkin-Lehner |
2- 3- 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
126420ba |
Isogeny class |
Conductor |
126420 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-16725366000 = -1 · 24 · 34 · 53 · 74 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 5 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,474,-4635] |
[a1,a2,a3,a4,a6] |
Generators |
[9:21:1] |
Generators of the group modulo torsion |
j |
305935616/435375 |
j-invariant |
L |
9.2268096639508 |
L(r)(E,1)/r! |
Ω |
0.65571843888378 |
Real period |
R |
1.1726081708361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000079675 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126420r1 |
Quadratic twists by: -7 |