Atkin-Lehner |
2- 3+ 5+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
108150cb |
Isogeny class |
Conductor |
108150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
648900000000 = 28 · 32 · 58 · 7 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2713,37031] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:312:1] |
Generators of the group modulo torsion |
j |
141339344329/41529600 |
j-invariant |
L |
10.441099189063 |
L(r)(E,1)/r! |
Ω |
0.84570265261071 |
Real period |
R |
0.77162900730185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015475 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21630d1 |
Quadratic twists by: 5 |