Atkin-Lehner |
2- 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31920bf |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
414101516451840000 = 220 · 36 · 54 · 74 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-231320,29660400] |
[a1,a2,a3,a4,a6] |
Generators |
[-500:4480:1] |
Generators of the group modulo torsion |
j |
334199035754662681/101099003040000 |
j-invariant |
L |
5.3843439730148 |
L(r)(E,1)/r! |
Ω |
0.27713482857156 |
Real period |
R |
1.2142880057622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3990p2 127680fe2 95760dp2 |
Quadratic twists by: -4 8 -3 |