Atkin-Lehner |
2- 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
90024t |
Isogeny class |
Conductor |
90024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
378268495389428688 = 24 · 35 · 1112 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 11- 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-250147,-37907252] |
[a1,a2,a3,a4,a6] |
Generators |
[205345:7887603:125] |
Generators of the group modulo torsion |
j |
61071030888448/13345169013 |
j-invariant |
L |
4.523195881772 |
L(r)(E,1)/r! |
Ω |
0.21679633639233 |
Real period |
R |
10.431901095715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000764 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8184b1 |
Quadratic twists by: -11 |