Atkin-Lehner |
2- 3+ 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
15540f |
Isogeny class |
Conductor |
15540 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
931467600 = 24 · 35 · 52 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-505,-3950] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:5:1] |
Generators of the group modulo torsion |
j |
891943960576/58216725 |
j-invariant |
L |
4.2712355296281 |
L(r)(E,1)/r! |
Ω |
1.0110690612425 |
Real period |
R |
1.408158187328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62160cu1 46620o1 77700x1 108780x1 |
Quadratic twists by: -4 -3 5 -7 |