Atkin-Lehner |
2+ 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31920j |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4075545600 = 210 · 32 · 52 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-400,400] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:38:1] |
Generators of the group modulo torsion |
j |
6929294404/3980025 |
j-invariant |
L |
5.5688454126378 |
L(r)(E,1)/r! |
Ω |
1.1863949008041 |
Real period |
R |
1.1734805604912 |
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 |
15960j2 127680fp2 95760bb2 |
Quadratic twists by: -4 8 -3 |