Atkin-Lehner |
2- 3- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
121128bf |
Isogeny class |
Conductor |
121128 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20352 |
Modular degree for the optimal curve |
Δ |
3876096 = 28 · 3 · 72 · 103 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 0 -1 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44,48] |
[a1,a2,a3,a4,a6] |
Generators |
[6:6:1] |
Generators of the group modulo torsion |
j |
768208/309 |
j-invariant |
L |
11.014099769291 |
L(r)(E,1)/r! |
Ω |
2.2518189625333 |
Real period |
R |
1.2228003063402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000091208 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121128s1 |
Quadratic twists by: -7 |