Atkin-Lehner |
2- 3- 5- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
21210bd |
Isogeny class |
Conductor |
21210 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
87273995291280 = 24 · 32 · 5 · 76 · 1013 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-108695,-13794855] |
[a1,a2,a3,a4,a6] |
Generators |
[-188:157:1] |
Generators of the group modulo torsion |
j |
142021031460088016881/87273995291280 |
j-invariant |
L |
9.7401862257224 |
L(r)(E,1)/r! |
Ω |
0.26294393697542 |
Real period |
R |
3.0869020781139 |
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 |
63630r3 106050c3 |
Quadratic twists by: -3 5 |