Atkin-Lehner |
2- 3- 5- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
120510bf |
Isogeny class |
Conductor |
120510 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
1757035800 = 23 · 38 · 52 · 13 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -5 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-302,101] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:49:1] |
Generators of the group modulo torsion |
j |
4165509529/2410200 |
j-invariant |
L |
10.563479287923 |
L(r)(E,1)/r! |
Ω |
1.260437490206 |
Real period |
R |
0.69840031158876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054099 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40170i1 |
Quadratic twists by: -3 |