Atkin-Lehner |
5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
101675i |
Isogeny class |
Conductor |
101675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-4672641435546875 = -1 · 510 · 78 · 83 |
Discriminant |
Eigenvalues |
-1 1 5+ 7- 0 2 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-638,3288767] |
[a1,a2,a3,a4,a6] |
j |
-25/4067 |
j-invariant |
L |
1.3838684917343 |
L(r)(E,1)/r! |
Ω |
0.34596712341455 |
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 |
101675be1 14525c1 |
Quadratic twists by: 5 -7 |