Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800fs |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
257250000 = 24 · 3 · 56 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-233,1212] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:50:1] |
Generators of the group modulo torsion |
j |
16384/3 |
j-invariant |
L |
4.7486694461103 |
L(r)(E,1)/r! |
Ω |
1.6634869527535 |
Real period |
R |
1.4273239228336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000288 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14700bg1 2352w1 58800io1 |
Quadratic twists by: -4 5 -7 |