Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
26600x |
Isogeny class |
Conductor |
26600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
3404800 = 210 · 52 · 7 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 1 -1 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-168,892] |
[a1,a2,a3,a4,a6] |
Generators |
[6:8:1] |
Generators of the group modulo torsion |
j |
20606020/133 |
j-invariant |
L |
4.0249206127985 |
L(r)(E,1)/r! |
Ω |
2.5209587305967 |
Real period |
R |
0.79829165070183 |
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 |
53200d1 26600i1 |
Quadratic twists by: -4 5 |