Atkin-Lehner |
2- 3+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
90024q |
Isogeny class |
Conductor |
90024 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
-2140868952493287984 = -1 · 24 · 310 · 119 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11+ -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,318553,12807720] |
[a1,a2,a3,a4,a6] |
Generators |
[5799615:253272511:3375] |
Generators of the group modulo torsion |
j |
94757435392/56746089 |
j-invariant |
L |
6.9986702211506 |
L(r)(E,1)/r! |
Ω |
0.15950981032275 |
Real period |
R |
10.9690278686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000031 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90024b1 |
Quadratic twists by: -11 |