Atkin-Lehner |
2- 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
52560bi |
Isogeny class |
Conductor |
52560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
139505172480 = 219 · 36 · 5 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -1 -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3747,86434] |
[a1,a2,a3,a4,a6] |
Generators |
[30:32:1] |
Generators of the group modulo torsion |
j |
1948441249/46720 |
j-invariant |
L |
7.056133745966 |
L(r)(E,1)/r! |
Ω |
1.0329231262001 |
Real period |
R |
3.4156141763815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000061 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6570k1 5840d1 |
Quadratic twists by: -4 -3 |