Atkin-Lehner |
3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
26979l |
Isogeny class |
Conductor |
26979 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
14065333921557 = 35 · 17 · 237 |
Discriminant |
Eigenvalues |
-2 3- 0 -1 0 -5 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9698,-323518] |
[a1,a2,a3,a4,a6] |
Generators |
[199:-2381:1] |
Generators of the group modulo torsion |
j |
681472000/95013 |
j-invariant |
L |
2.9351718060598 |
L(r)(E,1)/r! |
Ω |
0.48554513605574 |
Real period |
R |
0.30225529905451 |
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 |
80937v1 1173f1 |
Quadratic twists by: -3 -23 |