Atkin-Lehner |
2+ 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
110352n |
Isogeny class |
Conductor |
110352 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
960000 |
Modular degree for the optimal curve |
Δ |
-337224699702012672 = -1 · 28 · 35 · 1111 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11- -1 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,170207,-7021621] |
[a1,a2,a3,a4,a6] |
j |
1202423168000/743572467 |
j-invariant |
L |
1.7556406472639 |
L(r)(E,1)/r! |
Ω |
0.17556407030583 |
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 |
55176g1 10032d1 |
Quadratic twists by: -4 -11 |