Atkin-Lehner |
2- 3+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
2928g |
Isogeny class |
Conductor |
2928 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5472 |
Modular degree for the optimal curve |
Δ |
-3536905568256 = -1 · 231 · 33 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 -6 0 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14600,689904] |
[a1,a2,a3,a4,a6] |
j |
-84033427451401/863502336 |
j-invariant |
L |
1.5879565355953 |
L(r)(E,1)/r! |
Ω |
0.79397826779766 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
366c1 11712bl1 8784p1 73200ck1 |
Quadratic twists by: -4 8 -3 5 |