Atkin-Lehner |
2+ 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
35040g |
Isogeny class |
Conductor |
35040 |
Conductor |
∏ cp |
39 |
Product of Tamagawa factors cp |
deg |
134784 |
Modular degree for the optimal curve |
Δ |
-1587760001256960 = -1 · 29 · 313 · 5 · 733 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -2 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16424,1743020] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:1314:1] |
Generators of the group modulo torsion |
j |
956894629836088/3101093752455 |
j-invariant |
L |
7.2258023073217 |
L(r)(E,1)/r! |
Ω |
0.33595381700152 |
Real period |
R |
0.55149539270804 |
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 |
35040c1 70080bw1 105120be1 |
Quadratic twists by: -4 8 -3 |