Atkin-Lehner |
2+ 3+ 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
87150w |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
19064062500 = 22 · 3 · 58 · 72 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3125,65625] |
[a1,a2,a3,a4,a6] |
Generators |
[25:50:1] |
Generators of the group modulo torsion |
j |
216108018001/1220100 |
j-invariant |
L |
4.0586509854905 |
L(r)(E,1)/r! |
Ω |
1.2280541391603 |
Real period |
R |
0.82623616684576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017284 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430bj1 |
Quadratic twists by: 5 |