Atkin-Lehner |
2+ 3+ 5- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
119850s |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
145617750 = 2 · 36 · 53 · 17 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-42610,3367750] |
[a1,a2,a3,a4,a6] |
Generators |
[-185:2320:1] [85:565:1] |
Generators of the group modulo torsion |
j |
68448545988893981/1164942 |
j-invariant |
L |
6.9802698153287 |
L(r)(E,1)/r! |
Ω |
1.311396312516 |
Real period |
R |
5.322776760672 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986211 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119850cp2 |
Quadratic twists by: 5 |