Atkin-Lehner |
2- 3+ 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
19740n |
Isogeny class |
Conductor |
19740 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
8183019600 = 24 · 33 · 52 · 73 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3165,69462] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:329:1] |
Generators of the group modulo torsion |
j |
219210868719616/511438725 |
j-invariant |
L |
4.7687470015749 |
L(r)(E,1)/r! |
Ω |
1.3137148293511 |
Real period |
R |
0.40333013384228 |
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 |
78960da1 59220n1 98700ba1 |
Quadratic twists by: -4 -3 5 |