Atkin-Lehner |
2- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
322d |
Isogeny class |
Conductor |
322 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
40 |
Modular degree for the optimal curve |
Δ |
164864 = 210 · 7 · 23 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ -2 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14,4] |
[a1,a2,a3,a4,a6] |
Generators |
[0:2:1] |
Generators of the group modulo torsion |
j |
304821217/164864 |
j-invariant |
L |
1.6590507173596 |
L(r)(E,1)/r! |
Ω |
2.8164413550461 |
Real period |
R |
0.23562368367971 |
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 |
2576p1 10304d1 2898d1 8050i1 |
Quadratic twists by: -4 8 -3 5 |