Atkin-Lehner |
2+ 19- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
61408b |
Isogeny class |
Conductor |
61408 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29696 |
Modular degree for the optimal curve |
Δ |
-793882624 = -1 · 212 · 19 · 1012 |
Discriminant |
Eigenvalues |
2+ -2 -1 -5 3 -2 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,19,-1349] |
[a1,a2,a3,a4,a6] |
Generators |
[22:101:1] [25:124:1] |
Generators of the group modulo torsion |
j |
175616/193819 |
j-invariant |
L |
5.7054812617641 |
L(r)(E,1)/r! |
Ω |
0.74144147542974 |
Real period |
R |
1.9237800456405 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999933 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61408a1 122816f1 |
Quadratic twists by: -4 8 |