Atkin-Lehner |
3+ 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
31605g |
Isogeny class |
Conductor |
31605 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-5856317215875 = -1 · 33 · 53 · 79 · 43 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- -4 1 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,4345,36056] |
[a1,a2,a3,a4,a6] |
Generators |
[180:2572:1] |
Generators of the group modulo torsion |
j |
224755712/145125 |
j-invariant |
L |
3.949573468513 |
L(r)(E,1)/r! |
Ω |
0.47297730328959 |
Real period |
R |
1.3917417182048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94815k1 31605q1 |
Quadratic twists by: -3 -7 |