Atkin-Lehner |
2- 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
73200by |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-93696000 = -1 · 212 · 3 · 53 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -4 -4 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,107,157] |
[a1,a2,a3,a4,a6] |
Generators |
[12:55:1] |
Generators of the group modulo torsion |
j |
262144/183 |
j-invariant |
L |
5.1557889332839 |
L(r)(E,1)/r! |
Ω |
1.2034589240742 |
Real period |
R |
2.1420710039912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003445 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4575h1 73200cz1 |
Quadratic twists by: -4 5 |