Atkin-Lehner |
2- 3- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
41808q |
Isogeny class |
Conductor |
41808 |
Conductor |
∏ cp |
150 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-111149468728676352 = -1 · 212 · 35 · 135 · 673 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 5 13- 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,115448,-5377612] |
[a1,a2,a3,a4,a6] |
Generators |
[3452:203814:1] |
Generators of the group modulo torsion |
j |
41545045924015607/27136100763837 |
j-invariant |
L |
8.5775247715335 |
L(r)(E,1)/r! |
Ω |
0.19036657455835 |
Real period |
R |
0.3003862343458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2613b1 125424bb1 |
Quadratic twists by: -4 -3 |