Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
19110cg |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-1973340794880 = -1 · 212 · 32 · 5 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3135,3135] |
[a1,a2,a3,a4,a6] |
Generators |
[15:224:1] |
Generators of the group modulo torsion |
j |
28962726911/16773120 |
j-invariant |
L |
6.9119019765797 |
L(r)(E,1)/r! |
Ω |
0.49730654956093 |
Real period |
R |
2.3164457893835 |
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 |
57330bo1 95550dz1 2730y1 |
Quadratic twists by: -3 5 -7 |