Atkin-Lehner |
2+ 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31920j |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
37838223360 = 211 · 34 · 5 · 74 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4200,-102960] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:18:1] |
Generators of the group modulo torsion |
j |
4001704635602/18475695 |
j-invariant |
L |
5.5688454126378 |
L(r)(E,1)/r! |
Ω |
0.59319745040203 |
Real period |
R |
2.3469611209823 |
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 |
15960j4 127680fp3 95760bb3 |
Quadratic twists by: -4 8 -3 |