Atkin-Lehner |
3- 11+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
26961f |
Isogeny class |
Conductor |
26961 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
106560 |
Modular degree for the optimal curve |
Δ |
-152762832387 = -1 · 33 · 115 · 19 · 432 |
Discriminant |
Eigenvalues |
2 3- 4 -4 11+ 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4806,-131227] |
[a1,a2,a3,a4,a6] |
Generators |
[726690:19509847:1000] |
Generators of the group modulo torsion |
j |
-12279067123953664/152762832387 |
j-invariant |
L |
14.842208429074 |
L(r)(E,1)/r! |
Ω |
0.28648007990947 |
Real period |
R |
8.6348112079115 |
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 |
80883p1 |
Quadratic twists by: -3 |