Atkin-Lehner |
2- 3- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
122640cn |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3784704 |
Modular degree for the optimal curve |
Δ |
2.212286114562E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6794256,-6815000556] |
[a1,a2,a3,a4,a6] |
Generators |
[11662814730:-1379940696064:804357] |
Generators of the group modulo torsion |
j |
8468169606734482462609/5401089146880000 |
j-invariant |
L |
8.629218586263 |
L(r)(E,1)/r! |
Ω |
0.093514875344679 |
Real period |
R |
11.534553348187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044228 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15330q1 |
Quadratic twists by: -4 |