Atkin-Lehner |
2- 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
121200ca |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9676800 |
Modular degree for the optimal curve |
Δ |
3.053541888E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-64718408,200241507312] |
[a1,a2,a3,a4,a6] |
Generators |
[534689014:6147636102:103823] |
Generators of the group modulo torsion |
j |
468411146957701067329/477115920000000 |
j-invariant |
L |
5.6560124787873 |
L(r)(E,1)/r! |
Ω |
0.11688348486677 |
Real period |
R |
12.097544226575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999445888 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15150m1 24240bh1 |
Quadratic twists by: -4 5 |