Atkin-Lehner |
3+ 5- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
54075q |
Isogeny class |
Conductor |
54075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
247680 |
Modular degree for the optimal curve |
Δ |
50302423828125 = 36 · 59 · 73 · 103 |
Discriminant |
Eigenvalues |
2 3+ 5- 7+ -2 3 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-10708,259443] |
[a1,a2,a3,a4,a6] |
Generators |
[1386:15121:8] |
Generators of the group modulo torsion |
j |
69527932928/25754841 |
j-invariant |
L |
9.9098106269159 |
L(r)(E,1)/r! |
Ω |
0.57915133221348 |
Real period |
R |
4.2777293582827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000124 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54075bc1 |
Quadratic twists by: 5 |