Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600r |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2059200 |
Modular degree for the optimal curve |
Δ |
-3.9392463612769E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- -1 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1220083,600619912] |
[a1,a2,a3,a4,a6] |
Generators |
[17831839:242517003:24389] |
Generators of the group modulo torsion |
j |
-1239040/243 |
j-invariant |
L |
5.1831976594435 |
L(r)(E,1)/r! |
Ω |
0.196079354282 |
Real period |
R |
13.217091817753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002357 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72600dn1 72600cy1 |
Quadratic twists by: 5 -11 |