Atkin-Lehner |
2- 3- 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
19740o |
Isogeny class |
Conductor |
19740 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
3168 |
Modular degree for the optimal curve |
Δ |
-710640 = -1 · 24 · 33 · 5 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 5 6 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14,-31] |
[a1,a2,a3,a4,a6] |
Generators |
[2:3:1] |
Generators of the group modulo torsion |
j |
17643776/44415 |
j-invariant |
L |
6.3717773142155 |
L(r)(E,1)/r! |
Ω |
1.4743455899696 |
Real period |
R |
0.48019627280851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78960bw1 59220x1 98700o1 |
Quadratic twists by: -4 -3 5 |