Atkin-Lehner |
2- 5- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
87100w |
Isogeny class |
Conductor |
87100 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
298080 |
Modular degree for the optimal curve |
Δ |
986233300000000 = 28 · 58 · 133 · 672 |
Discriminant |
Eigenvalues |
2- 1 5- 4 0 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29333,-1216537] |
[a1,a2,a3,a4,a6] |
Generators |
[-142:325:1] |
Generators of the group modulo torsion |
j |
27913093120/9862333 |
j-invariant |
L |
9.1326133121974 |
L(r)(E,1)/r! |
Ω |
0.37542804699327 |
Real period |
R |
1.3514371403712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997927 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87100b1 |
Quadratic twists by: 5 |