Atkin-Lehner |
2+ 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
90024j |
Isogeny class |
Conductor |
90024 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-129669129216 = -1 · 210 · 32 · 114 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 1 2 11- 1 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40,17312] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:132:1] |
Generators of the group modulo torsion |
j |
-484/8649 |
j-invariant |
L |
10.624402028593 |
L(r)(E,1)/r! |
Ω |
0.83205656571475 |
Real period |
R |
0.53203524387683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999704 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90024y1 |
Quadratic twists by: -11 |