Atkin-Lehner |
2- 5+ 17+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
87550l |
Isogeny class |
Conductor |
87550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-465109375000 = -1 · 23 · 59 · 172 · 103 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 3 -1 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1937,781] |
[a1,a2,a3,a4,a6] |
Generators |
[75:2074:27] |
Generators of the group modulo torsion |
j |
51437343959/29767000 |
j-invariant |
L |
17.710206467035 |
L(r)(E,1)/r! |
Ω |
0.55889567073061 |
Real period |
R |
1.3203274028233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17510h1 |
Quadratic twists by: 5 |