Atkin-Lehner |
2+ 3+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
84474j |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
145555200 |
Modular degree for the optimal curve |
Δ |
-2.210279805386E+29 |
Discriminant |
Eigenvalues |
2+ 3+ 2 5 -3 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-819202386,-24353128879020] |
[a1,a2,a3,a4,a6] |
Generators |
[354942677730237261:148497397261474577679:1963926099667] |
Generators of the group modulo torsion |
j |
-47864328251166811289619/174005063300429643776 |
j-invariant |
L |
7.1013688052024 |
L(r)(E,1)/r! |
Ω |
0.012932228642582 |
Real period |
R |
27.45609052186 |
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 |
84474bp1 4446k1 |
Quadratic twists by: -3 -19 |