Atkin-Lehner |
2- 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
26550br |
Isogeny class |
Conductor |
26550 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-2255015116800 = -1 · 221 · 36 · 52 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -1 -5 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12305,533377] |
[a1,a2,a3,a4,a6] |
Generators |
[55:-172:1] |
Generators of the group modulo torsion |
j |
-11304931640625/123731968 |
j-invariant |
L |
6.7725315832617 |
L(r)(E,1)/r! |
Ω |
0.82412357350359 |
Real period |
R |
0.19566331696701 |
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 |
2950g1 26550bb1 |
Quadratic twists by: -3 5 |