Atkin-Lehner |
2+ 3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
53664b |
Isogeny class |
Conductor |
53664 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4922774117134848 = -1 · 29 · 32 · 132 · 436 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-77704,-8968700] |
[a1,a2,a3,a4,a6] |
Generators |
[568:11394:1] |
Generators of the group modulo torsion |
j |
-101341999183791176/9614793197529 |
j-invariant |
L |
3.0444758603551 |
L(r)(E,1)/r! |
Ω |
0.14220746269886 |
Real period |
R |
5.3521731605621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53664m2 107328bb2 |
Quadratic twists by: -4 8 |