Atkin-Lehner |
3- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
31605bb |
Isogeny class |
Conductor |
31605 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-15837354179679375 = -1 · 32 · 54 · 77 · 434 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,9995,6043400] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:1895:1] |
Generators of the group modulo torsion |
j |
938601300671/134615289375 |
j-invariant |
L |
3.8138820346245 |
L(r)(E,1)/r! |
Ω |
0.30198310975354 |
Real period |
R |
1.5786818498463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
94815t1 4515a1 |
Quadratic twists by: -3 -7 |