Atkin-Lehner |
2- 3+ 5- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
127920bn |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
25543065600 = 214 · 32 · 52 · 132 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -6 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20840,1164912] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:150:1] [4:1040:1] |
Generators of the group modulo torsion |
j |
244386801446761/6236100 |
j-invariant |
L |
9.9601715870784 |
L(r)(E,1)/r! |
Ω |
1.1056870467976 |
Real period |
R |
1.1260161296344 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999948824 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15990l1 |
Quadratic twists by: -4 |