Atkin-Lehner |
2+ 3- 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
122010bh |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
3216810841209000000 = 26 · 34 · 56 · 78 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-683968,199833806] |
[a1,a2,a3,a4,a6] |
Generators |
[-815:15107:1] |
Generators of the group modulo torsion |
j |
300775120462810729/27342441000000 |
j-invariant |
L |
7.3300570961975 |
L(r)(E,1)/r! |
Ω |
0.24539021209296 |
Real period |
R |
1.2446260453488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998831225 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17430a2 |
Quadratic twists by: -7 |