Atkin-Lehner |
2+ 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
26550w |
Isogeny class |
Conductor |
26550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
90720 |
Modular degree for the optimal curve |
Δ |
-215055000000000 = -1 · 29 · 36 · 510 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -4 2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5508,686416] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:491:1] |
Generators of the group modulo torsion |
j |
2595575/30208 |
j-invariant |
L |
3.1729930816532 |
L(r)(E,1)/r! |
Ω |
0.4140969638946 |
Real period |
R |
3.8312199295198 |
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 |
2950m1 26550cn1 |
Quadratic twists by: -3 5 |