Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400gt |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
21565440 |
Modular degree for the optimal curve |
Δ |
-5.0223238034227E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 0 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,36919167,64568469537] |
[a1,a2,a3,a4,a6] |
Generators |
[2791302253:836870342656:2571353] |
Generators of the group modulo torsion |
j |
2173899265153175/1961845235712 |
j-invariant |
L |
7.4268879631105 |
L(r)(E,1)/r! |
Ω |
0.050097341257805 |
Real period |
R |
12.354095263274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000063395 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400dj1 27600dc1 110400je1 |
Quadratic twists by: -4 8 5 |