Atkin-Lehner |
2- 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
90024ba |
Isogeny class |
Conductor |
90024 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
23724744912 = 24 · 33 · 116 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33799,2380442] |
[a1,a2,a3,a4,a6] |
Generators |
[-169:1815:1] [62:726:1] |
Generators of the group modulo torsion |
j |
150651000832/837 |
j-invariant |
L |
12.1228278825 |
L(r)(E,1)/r! |
Ω |
1.0652178634869 |
Real period |
R |
1.896768147662 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999839 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
744b1 |
Quadratic twists by: -11 |