Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
108300y |
Isogeny class |
Conductor |
108300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
787968 |
Modular degree for the optimal curve |
Δ |
44021395402272000 = 28 · 34 · 53 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 5 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-91453,3409177] |
[a1,a2,a3,a4,a6] |
Generators |
[266:5085:8] |
Generators of the group modulo torsion |
j |
155648/81 |
j-invariant |
L |
6.565323801085 |
L(r)(E,1)/r! |
Ω |
0.31689416723841 |
Real period |
R |
5.1794293408321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015464 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108300cl1 108300cq1 |
Quadratic twists by: 5 -19 |