Atkin-Lehner |
2- 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
15150bb |
Isogeny class |
Conductor |
15150 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-207081562500000 = -1 · 25 · 38 · 510 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 0 -4 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1188338,498112031] |
[a1,a2,a3,a4,a6] |
Generators |
[675:1687:1] |
Generators of the group modulo torsion |
j |
-11877462388911549529/13253220000 |
j-invariant |
L |
6.984946058433 |
L(r)(E,1)/r! |
Ω |
0.47439483646908 |
Real period |
R |
0.73619541376355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121200do1 45450p1 3030j1 |
Quadratic twists by: -4 -3 5 |