Atkin-Lehner |
2- 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
87600cb |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
892833103872000000 = 230 · 36 · 56 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-375208,75761588] |
[a1,a2,a3,a4,a6] |
Generators |
[188:3450:1] |
Generators of the group modulo torsion |
j |
91276959390625/13950517248 |
j-invariant |
L |
9.6090514026078 |
L(r)(E,1)/r! |
Ω |
0.26858111279778 |
Real period |
R |
2.9814244011172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002199 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10950b1 3504p1 |
Quadratic twists by: -4 5 |