Atkin-Lehner |
2- 3- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
19740w |
Isogeny class |
Conductor |
19740 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
555291875250000 = 24 · 39 · 56 · 74 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-306325,65144348] |
[a1,a2,a3,a4,a6] |
Generators |
[-559:7875:1] |
Generators of the group modulo torsion |
j |
198679232562180653056/34705742203125 |
j-invariant |
L |
6.8396975208394 |
L(r)(E,1)/r! |
Ω |
0.50256560790201 |
Real period |
R |
0.75608674693928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
78960bz1 59220p1 98700d1 |
Quadratic twists by: -4 -3 5 |