Atkin-Lehner |
2+ 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
60600o |
Isogeny class |
Conductor |
60600 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-99399150000000000 = -1 · 210 · 39 · 511 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 3 4 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-223008,-43354512] |
[a1,a2,a3,a4,a6] |
Generators |
[588:5400:1] |
Generators of the group modulo torsion |
j |
-76659680596324/6212446875 |
j-invariant |
L |
7.5431260906316 |
L(r)(E,1)/r! |
Ω |
0.10933979561873 |
Real period |
R |
1.9163313696377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121200r1 12120m1 |
Quadratic twists by: -4 5 |