Atkin-Lehner |
2+ 3- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
60600p |
Isogeny class |
Conductor |
60600 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
37152 |
Modular degree for the optimal curve |
Δ |
-19879830000 = -1 · 24 · 39 · 54 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 3 2 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,592,4113] |
[a1,a2,a3,a4,a6] |
Generators |
[4:81:1] |
Generators of the group modulo torsion |
j |
2290630400/1987983 |
j-invariant |
L |
8.8258901571958 |
L(r)(E,1)/r! |
Ω |
0.79123152623677 |
Real period |
R |
0.61970133226984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000255 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121200t1 60600t1 |
Quadratic twists by: -4 5 |