Atkin-Lehner |
2- 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
24600w |
Isogeny class |
Conductor |
24600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
461250000 = 24 · 32 · 57 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15383,739512] |
[a1,a2,a3,a4,a6] |
Generators |
[88:244:1] |
Generators of the group modulo torsion |
j |
1610404796416/1845 |
j-invariant |
L |
5.0000352038017 |
L(r)(E,1)/r! |
Ω |
1.4046104359956 |
Real period |
R |
3.5597309230141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49200ba1 73800m1 4920c1 |
Quadratic twists by: -4 -3 5 |