Atkin-Lehner |
2+ 3+ 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
121200x |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
38912 |
Modular degree for the optimal curve |
Δ |
261792000 = 28 · 34 · 53 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 4 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-228,1152] |
[a1,a2,a3,a4,a6] |
Generators |
[21:72:1] |
Generators of the group modulo torsion |
j |
41141648/8181 |
j-invariant |
L |
6.7706385081407 |
L(r)(E,1)/r! |
Ω |
1.6551786916246 |
Real period |
R |
2.0452892950701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999842332 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60600bp1 121200bo1 |
Quadratic twists by: -4 5 |