Atkin-Lehner |
3- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113925cx |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
786240 |
Modular degree for the optimal curve |
Δ |
-28401367982486625 = -1 · 33 · 53 · 710 · 313 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-25261,-8256307] |
[a1,a2,a3,a4,a6] |
j |
-50484749/804357 |
j-invariant |
L |
3.8482001841793 |
L(r)(E,1)/r! |
Ω |
0.16034168026758 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113925bi1 113925bc1 |
Quadratic twists by: 5 -7 |