Atkin-Lehner |
3+ 5+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
54075f |
Isogeny class |
Conductor |
54075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
101390625 = 32 · 56 · 7 · 103 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 6 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-350,-2625] |
[a1,a2,a3,a4,a6] |
Generators |
[190:355:8] |
Generators of the group modulo torsion |
j |
304821217/6489 |
j-invariant |
L |
6.1447929899974 |
L(r)(E,1)/r! |
Ω |
1.1047994225458 |
Real period |
R |
2.7809541101381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999734 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2163e1 |
Quadratic twists by: 5 |