Atkin-Lehner |
3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113925t |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
18579456 |
Modular degree for the optimal curve |
Δ |
-1.9091751065393E+24 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 2 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-86959713,319087448406] |
[a1,a2,a3,a4,a6] |
j |
-39561225788358502201/1038574121484375 |
j-invariant |
L |
0.66413706320209 |
L(r)(E,1)/r! |
Ω |
0.083017112530473 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22785l1 16275v1 |
Quadratic twists by: 5 -7 |