Atkin-Lehner |
2- 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
68200ba |
Isogeny class |
Conductor |
68200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
348160 |
Modular degree for the optimal curve |
Δ |
27042541922000 = 24 · 53 · 114 · 314 |
Discriminant |
Eigenvalues |
2- 2 5- 2 11- -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-193803,32902652] |
[a1,a2,a3,a4,a6] |
Generators |
[2074:1023:8] |
Generators of the group modulo torsion |
j |
402510713031108608/13521270961 |
j-invariant |
L |
9.9508837109248 |
L(r)(E,1)/r! |
Ω |
0.62321005590447 |
Real period |
R |
0.99794640029225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000273 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68200n1 |
Quadratic twists by: 5 |