Atkin-Lehner |
3+ 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
115851j |
Isogeny class |
Conductor |
115851 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1424160 |
Modular degree for the optimal curve |
Δ |
-1389158567899659 = -1 · 35 · 238 · 73 |
Discriminant |
Eigenvalues |
-2 3+ 3 -4 3 4 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,4056,1789112] |
[a1,a2,a3,a4,a6] |
j |
94208/17739 |
j-invariant |
L |
1.1126963406805 |
L(r)(E,1)/r! |
Ω |
0.37089853661085 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115851k1 |
Quadratic twists by: -23 |