Atkin-Lehner |
2- 3+ 5- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
94860d |
Isogeny class |
Conductor |
94860 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
178560 |
Modular degree for the optimal curve |
Δ |
-16078058550000 = -1 · 24 · 39 · 55 · 17 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 1 -6 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6183,-46899] |
[a1,a2,a3,a4,a6] |
Generators |
[252:4185:1] |
Generators of the group modulo torsion |
j |
83006131968/51053125 |
j-invariant |
L |
8.3067546293841 |
L(r)(E,1)/r! |
Ω |
0.40288036910117 |
Real period |
R |
1.0309207471553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008215 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94860b1 |
Quadratic twists by: -3 |