Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650ci |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
1375258500 = 22 · 36 · 53 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3507,80801] |
[a1,a2,a3,a4,a6] |
Generators |
[28:49:1] |
Generators of the group modulo torsion |
j |
52355598021/15092 |
j-invariant |
L |
4.4235054092926 |
L(r)(E,1)/r! |
Ω |
1.4869250193924 |
Real period |
R |
0.24791125710226 |
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 |
3850x1 34650ef1 |
Quadratic twists by: -3 5 |