Atkin-Lehner |
2+ 3+ 5- 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
21210i |
Isogeny class |
Conductor |
21210 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
2052449280 = 210 · 34 · 5 · 72 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -2 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-777,-8379] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:21:1] |
Generators of the group modulo torsion |
j |
51982817627161/2052449280 |
j-invariant |
L |
2.9327037618874 |
L(r)(E,1)/r! |
Ω |
0.90631070941558 |
Real period |
R |
1.6179350698496 |
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 |
63630be1 106050cd1 |
Quadratic twists by: -3 5 |