Atkin-Lehner |
5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
89425z |
Isogeny class |
Conductor |
89425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-1956171875 = -1 · 57 · 73 · 73 |
Discriminant |
Eigenvalues |
-1 -1 5+ 7- 2 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,62,-2094] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-98:1] |
Generators of the group modulo torsion |
j |
4913/365 |
j-invariant |
L |
2.2540416072106 |
L(r)(E,1)/r! |
Ω |
0.70326700857288 |
Real period |
R |
0.40063759256473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999987808 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17885m1 89425m1 |
Quadratic twists by: 5 -7 |