Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
106400r |
Isogeny class |
Conductor |
106400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-23275000000 = -1 · 26 · 58 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 0 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,342,6812] |
[a1,a2,a3,a4,a6] |
Generators |
[302:5250:1] |
Generators of the group modulo torsion |
j |
4410944/23275 |
j-invariant |
L |
9.773984751093 |
L(r)(E,1)/r! |
Ω |
0.8655326092751 |
Real period |
R |
2.8231127993984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000095 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106400c1 21280r1 |
Quadratic twists by: -4 5 |