Atkin-Lehner |
3+ 5- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39975l |
Isogeny class |
Conductor |
39975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
580320 |
Modular degree for the optimal curve |
Δ |
-729278838798046875 = -1 · 313 · 58 · 134 · 41 |
Discriminant |
Eigenvalues |
0 3+ 5- 2 -5 13- 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,202917,-21289057] |
[a1,a2,a3,a4,a6] |
j |
2365466685440000/1866953827323 |
j-invariant |
L |
0.6341924096243 |
L(r)(E,1)/r! |
Ω |
0.15854810242363 |
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 |
119925br1 39975q1 |
Quadratic twists by: -3 5 |