Atkin-Lehner |
2+ 3- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
6270h |
Isogeny class |
Conductor |
6270 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-1407493853568000 = -1 · 210 · 314 · 53 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-256559,50029346] |
[a1,a2,a3,a4,a6] |
Generators |
[279:292:1] |
Generators of the group modulo torsion |
j |
-1867596456486858577129/1407493853568000 |
j-invariant |
L |
3.1705106831024 |
L(r)(E,1)/r! |
Ω |
0.47598039406594 |
Real period |
R |
0.47578650636953 |
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 |
50160be1 18810bk1 31350bf1 68970ck1 |
Quadratic twists by: -4 -3 5 -11 |