Atkin-Lehner |
2+ 3+ 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
24360i |
Isogeny class |
Conductor |
24360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-4384800000000 = -1 · 211 · 33 · 58 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -3 -1 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12040,-514388] |
[a1,a2,a3,a4,a6] |
Generators |
[129:250:1] |
Generators of the group modulo torsion |
j |
-94256061999122/2141015625 |
j-invariant |
L |
4.0805479083415 |
L(r)(E,1)/r! |
Ω |
0.22757595071159 |
Real period |
R |
2.24131103022 |
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 |
48720z1 73080bc1 121800bz1 |
Quadratic twists by: -4 -3 5 |