Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
108300x |
Isogeny class |
Conductor |
108300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2008800 |
Modular degree for the optimal curve |
Δ |
-989625093750000 = -1 · 24 · 35 · 59 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 -4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4677958,-3892769963] |
[a1,a2,a3,a4,a6] |
Generators |
[43406618628117040212474:4786710960315081036948625:3456224522652145672] |
Generators of the group modulo torsion |
j |
-2779894628096/243 |
j-invariant |
L |
3.652161553432 |
L(r)(E,1)/r! |
Ω |
0.051328133216304 |
Real period |
R |
35.576606088919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108300ck1 108300cp1 |
Quadratic twists by: 5 -19 |