Atkin-Lehner |
2- 3- 5+ 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
40710bc |
Isogeny class |
Conductor |
40710 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
61200 |
Modular degree for the optimal curve |
Δ |
-45914529240 = -1 · 23 · 35 · 5 · 23 · 593 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 5 6 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,164,-10264] |
[a1,a2,a3,a4,a6] |
j |
487629237311/45914529240 |
j-invariant |
L |
8.0866105518751 |
L(r)(E,1)/r! |
Ω |
0.53910737012765 |
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 |
122130bb1 |
Quadratic twists by: -3 |