Atkin-Lehner |
2- 3+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
121128u |
Isogeny class |
Conductor |
121128 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
565476559242690816 = 28 · 312 · 79 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 6 4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-345172,-69048860] |
[a1,a2,a3,a4,a6] |
Generators |
[230160:346870:343] |
Generators of the group modulo torsion |
j |
440260093744/54738423 |
j-invariant |
L |
7.8907072153062 |
L(r)(E,1)/r! |
Ω |
0.19857314909267 |
Real period |
R |
9.9342576269867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999135079 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121128be1 |
Quadratic twists by: -7 |