Atkin-Lehner |
2+ 7- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52976f |
Isogeny class |
Conductor |
52976 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
146432 |
Modular degree for the optimal curve |
Δ |
-471739837184 = -1 · 28 · 72 · 11 · 434 |
Discriminant |
Eigenvalues |
2+ -3 3 7- 11+ 4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1124,29692] |
[a1,a2,a3,a4,a6] |
j |
613454957568/1842733739 |
j-invariant |
L |
2.6352732118958 |
L(r)(E,1)/r! |
Ω |
0.65881830255956 |
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 |
26488i1 |
Quadratic twists by: -4 |