Atkin-Lehner |
2+ 3+ 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
40920k |
Isogeny class |
Conductor |
40920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-36571431600 = -1 · 24 · 32 · 52 · 11 · 314 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11+ 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,505,7932] |
[a1,a2,a3,a4,a6] |
Generators |
[4:100:1] |
Generators of the group modulo torsion |
j |
888418494464/2285714475 |
j-invariant |
L |
4.3984948134202 |
L(r)(E,1)/r! |
Ω |
0.8095013380709 |
Real period |
R |
2.7167927998147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999941 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81840bg1 122760bs1 |
Quadratic twists by: -4 -3 |