Atkin-Lehner |
2- 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
90024w |
Isogeny class |
Conductor |
90024 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-4989789775872 = -1 · 211 · 310 · 113 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 3 11+ 0 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4272,-288] |
[a1,a2,a3,a4,a6] |
Generators |
[51:594:1] |
Generators of the group modulo torsion |
j |
3162334250/1830519 |
j-invariant |
L |
9.9096169437531 |
L(r)(E,1)/r! |
Ω |
0.45770609024903 |
Real period |
R |
1.082530596556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005309 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90024g1 |
Quadratic twists by: -11 |