Atkin-Lehner |
2- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
113600cs |
Isogeny class |
Conductor |
113600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-4129587200000000 = -1 · 221 · 58 · 712 |
Discriminant |
Eigenvalues |
2- -1 5- -4 1 4 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-92833,-11286463] |
[a1,a2,a3,a4,a6] |
Generators |
[413:4544:1] |
Generators of the group modulo torsion |
j |
-864043465/40328 |
j-invariant |
L |
5.39949175886 |
L(r)(E,1)/r! |
Ω |
0.1363834850379 |
Real period |
R |
1.6496046029975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999937526 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113600br1 28400y1 113600ca1 |
Quadratic twists by: -4 8 5 |