Atkin-Lehner |
2- 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27600bj |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-135659520000000000 = -1 · 226 · 32 · 510 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -6 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,68592,16293312] |
[a1,a2,a3,a4,a6] |
j |
557644990391/2119680000 |
j-invariant |
L |
0.93375505139625 |
L(r)(E,1)/r! |
Ω |
0.23343876284915 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3450w1 110400hw1 82800ej1 5520bc1 |
Quadratic twists by: -4 8 -3 5 |