Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400et |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
1531809792000000 = 218 · 39 · 56 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28875,144250] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:1350:1] |
Generators of the group modulo torsion |
j |
57066625/32832 |
j-invariant |
L |
5.8000732351966 |
L(r)(E,1)/r! |
Ω |
0.40651746104183 |
Real period |
R |
1.7834637474365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990559 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8550bf1 22800db1 2736n1 |
Quadratic twists by: -4 -3 5 |