Atkin-Lehner |
2+ 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110352h |
Isogeny class |
Conductor |
110352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-20473689544704 = -1 · 211 · 33 · 117 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 3 2 11- -4 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6736,-48288] |
[a1,a2,a3,a4,a6] |
j |
9314926/5643 |
j-invariant |
L |
1.5860997772123 |
L(r)(E,1)/r! |
Ω |
0.39652505793712 |
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 |
55176q1 10032c1 |
Quadratic twists by: -4 -11 |