Atkin-Lehner |
2+ 3+ 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
38760d |
Isogeny class |
Conductor |
38760 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-3402498150000 = -1 · 24 · 36 · 55 · 173 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 -4 -3 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6940,-237275] |
[a1,a2,a3,a4,a6] |
Generators |
[190:-2295:1] |
Generators of the group modulo torsion |
j |
-2310706137001216/212656134375 |
j-invariant |
L |
4.7375568209267 |
L(r)(E,1)/r! |
Ω |
0.26016865936881 |
Real period |
R |
0.30349266718101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77520bb1 116280bh1 |
Quadratic twists by: -4 -3 |