Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720ch |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
12179481875000000 = 26 · 510 · 117 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 11- 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-127816,16725234] |
[a1,a2,a3,a4,a6] |
Generators |
[-4577950:100066153:17576] |
Generators of the group modulo torsion |
j |
2036792051776/107421875 |
j-invariant |
L |
4.1047322913038 |
L(r)(E,1)/r! |
Ω |
0.39549628431914 |
Real period |
R |
10.378687370909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38720cf1 19360l2 3520t1 |
Quadratic twists by: -4 8 -11 |