Atkin-Lehner |
3+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
31605i |
Isogeny class |
Conductor |
31605 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-26028076515 = -1 · 3 · 5 · 79 · 43 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 0 3 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-40245,3120998] |
[a1,a2,a3,a4,a6] |
j |
-178643795968/645 |
j-invariant |
L |
2.0857095583988 |
L(r)(E,1)/r! |
Ω |
1.042854779201 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94815o1 31605w1 |
Quadratic twists by: -3 -7 |