Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
26950cb |
Isogeny class |
Conductor |
26950 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-99648703000000 = -1 · 26 · 56 · 77 · 112 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ 2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35755,-2637253] |
[a1,a2,a3,a4,a6] |
Generators |
[269:2540:1] |
Generators of the group modulo torsion |
j |
-2749884201/54208 |
j-invariant |
L |
7.7998668206621 |
L(r)(E,1)/r! |
Ω |
0.17339195129692 |
Real period |
R |
3.748668244749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1078c1 3850r1 |
Quadratic twists by: 5 -7 |