Atkin-Lehner |
2- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
26714r |
Isogeny class |
Conductor |
26714 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-156634932568448 = -1 · 27 · 197 · 372 |
Discriminant |
Eigenvalues |
2- 1 -2 1 2 1 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-27624,1864640] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:-1440:1] |
Generators of the group modulo torsion |
j |
-49552182217/3329408 |
j-invariant |
L |
9.0579099750075 |
L(r)(E,1)/r! |
Ω |
0.56690840037756 |
Real period |
R |
0.28531662664219 |
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 |
1406b1 |
Quadratic twists by: -19 |