Atkin-Lehner |
2+ 5- 17+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
87550g |
Isogeny class |
Conductor |
87550 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-2188750 = -1 · 2 · 54 · 17 · 103 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 0 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,24,-52] |
[a1,a2,a3,a4,a6] |
Generators |
[2:1:1] |
Generators of the group modulo torsion |
j |
2595575/3502 |
j-invariant |
L |
3.0434609724423 |
L(r)(E,1)/r! |
Ω |
1.3858537203354 |
Real period |
R |
0.73203035506268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985415 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87550p1 |
Quadratic twists by: 5 |