Atkin-Lehner |
2- 3- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
1422f |
Isogeny class |
Conductor |
1422 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
240 |
Modular degree for the optimal curve |
Δ |
230364 = 22 · 36 · 79 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 -4 -7 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32,-57] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:3:1] |
Generators of the group modulo torsion |
j |
4826809/316 |
j-invariant |
L |
3.6967014144281 |
L(r)(E,1)/r! |
Ω |
2.020500442015 |
Real period |
R |
0.91479846714152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11376o1 45504m1 158b1 35550m1 |
Quadratic twists by: -4 8 -3 5 |