Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
14700f |
Isogeny class |
Conductor |
14700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
30265205250000 = 24 · 3 · 56 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11433,392862] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:750:1] |
Generators of the group modulo torsion |
j |
16384/3 |
j-invariant |
L |
4.4205472843339 |
L(r)(E,1)/r! |
Ω |
0.62873896945521 |
Real period |
R |
3.5154074258863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58800io1 44100bv1 588e1 14700bg1 |
Quadratic twists by: -4 -3 5 -7 |