Atkin-Lehner |
2+ 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
6570l |
Isogeny class |
Conductor |
6570 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59520 |
Modular degree for the optimal curve |
Δ |
-15428156034908160 = -1 · 231 · 39 · 5 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 4 4 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-170334,27752980] |
[a1,a2,a3,a4,a6] |
j |
-749724414259642849/21163451351040 |
j-invariant |
L |
1.5676453365598 |
L(r)(E,1)/r! |
Ω |
0.39191133413995 |
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 |
52560bj1 2190h1 32850bj1 |
Quadratic twists by: -4 -3 5 |