Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275cq |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
743040 |
Modular degree for the optimal curve |
Δ |
-68252575166015625 = -1 · 37 · 510 · 74 · 113 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11- 0 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5742,12572041] |
[a1,a2,a3,a4,a6] |
Generators |
[-192:2659:1] |
Generators of the group modulo torsion |
j |
-1225/3993 |
j-invariant |
L |
7.3446546803805 |
L(r)(E,1)/r! |
Ω |
0.27887403740288 |
Real period |
R |
4.3894696147906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988795 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40425e1 121275fe1 121275eb1 |
Quadratic twists by: -3 5 -7 |