Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600z |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-102093750000 = -1 · 24 · 33 · 59 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- 0 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36208,2664037] |
[a1,a2,a3,a4,a6] |
Generators |
[117:125:1] |
Generators of the group modulo torsion |
j |
-1388397824/27 |
j-invariant |
L |
4.1937197655464 |
L(r)(E,1)/r! |
Ω |
0.97803016274631 |
Real period |
R |
1.0719811939417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982339 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72600en1 72600df1 |
Quadratic twists by: 5 -11 |