Atkin-Lehner |
3- 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
101475bu |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-923072728359375 = -1 · 39 · 57 · 114 · 41 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,16870,-1198128] |
[a1,a2,a3,a4,a6] |
j |
46617130799/81037935 |
j-invariant |
L |
1.0442047253296 |
L(r)(E,1)/r! |
Ω |
0.26105111626244 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33825d1 20295m1 |
Quadratic twists by: -3 5 |