Atkin-Lehner |
2+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
34400k |
Isogeny class |
Conductor |
34400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-68800000000 = -1 · 212 · 58 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 -5 -1 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15533,-750437] |
[a1,a2,a3,a4,a6] |
j |
-6476460544/1075 |
j-invariant |
L |
0.855281464339 |
L(r)(E,1)/r! |
Ω |
0.21382036608591 |
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 |
34400c1 68800cy1 6880g1 |
Quadratic twists by: -4 8 5 |