Atkin-Lehner |
2+ 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
90024k |
Isogeny class |
Conductor |
90024 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-640568112624 = -1 · 24 · 36 · 116 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -1 3 11- 2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11656,-489799] |
[a1,a2,a3,a4,a6] |
Generators |
[128:363:1] |
Generators of the group modulo torsion |
j |
-6179217664/22599 |
j-invariant |
L |
8.7690821630885 |
L(r)(E,1)/r! |
Ω |
0.22968571710226 |
Real period |
R |
1.5907755532938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999932947 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
744g1 |
Quadratic twists by: -11 |