Atkin-Lehner |
2- 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640db |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
5824315392000 = 222 · 3 · 53 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 -6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4800,-55500] |
[a1,a2,a3,a4,a6] |
j |
2986606123201/1421952000 |
j-invariant |
L |
3.6066037595718 |
L(r)(E,1)/r! |
Ω |
0.60110062660199 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830v1 115920dl1 |
Quadratic twists by: -4 -3 |