Atkin-Lehner |
3+ 11- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
28743c |
Isogeny class |
Conductor |
28743 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
243200 |
Modular degree for the optimal curve |
Δ |
26286031728926541 = 38 · 115 · 135 · 67 |
Discriminant |
Eigenvalues |
0 3+ 3 2 11- 13+ -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-328149,-71821708] |
[a1,a2,a3,a4,a6] |
Generators |
[-350:181:1] |
Generators of the group modulo torsion |
j |
3907853650461177413632/26286031728926541 |
j-invariant |
L |
4.872689971932 |
L(r)(E,1)/r! |
Ω |
0.19955274221749 |
Real period |
R |
2.4418055686858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86229e1 |
Quadratic twists by: -3 |