Atkin-Lehner |
5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
87025b |
Isogeny class |
Conductor |
87025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-16045234375 = -1 · 57 · 593 |
Discriminant |
Eigenvalues |
-1 2 5+ 2 0 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-338,6406] |
[a1,a2,a3,a4,a6] |
Generators |
[2208:18614:27] |
Generators of the group modulo torsion |
j |
-1331/5 |
j-invariant |
L |
7.2765566600236 |
L(r)(E,1)/r! |
Ω |
1.083031639308 |
Real period |
R |
6.7186925984095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001597 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17405a1 87025a1 |
Quadratic twists by: 5 -59 |