Atkin-Lehner |
3- 5+ 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
54315b |
Isogeny class |
Conductor |
54315 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-39595635 = -1 · 38 · 5 · 17 · 71 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 1 -3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-228,1359] |
[a1,a2,a3,a4,a6] |
Generators |
[11:13:1] |
Generators of the group modulo torsion |
j |
-1798045696/54315 |
j-invariant |
L |
5.0845572973028 |
L(r)(E,1)/r! |
Ω |
2.0357549053718 |
Real period |
R |
0.62440685810607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999094 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18105i1 |
Quadratic twists by: -3 |