Atkin-Lehner |
2- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
7154j |
Isogeny class |
Conductor |
7154 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-63038962008064 = -1 · 220 · 77 · 73 |
Discriminant |
Eigenvalues |
2- 0 2 7- 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16204,-876977] |
[a1,a2,a3,a4,a6] |
Generators |
[247:3061:1] |
Generators of the group modulo torsion |
j |
-3999236143617/535822336 |
j-invariant |
L |
6.6567374503912 |
L(r)(E,1)/r! |
Ω |
0.21000909470352 |
Real period |
R |
3.1697377010214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57232f1 64386r1 1022b1 |
Quadratic twists by: -4 -3 -7 |