Atkin-Lehner |
3- 5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
39975q |
Isogeny class |
Conductor |
39975 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
116064 |
Modular degree for the optimal curve |
Δ |
-46673845683075 = -1 · 313 · 52 · 134 · 41 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 -5 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,8117,-167066] |
[a1,a2,a3,a4,a6] |
Generators |
[62:-761:1] |
Generators of the group modulo torsion |
j |
2365466685440000/1866953827323 |
j-invariant |
L |
3.8904920934414 |
L(r)(E,1)/r! |
Ω |
0.35452433472283 |
Real period |
R |
0.4220706355832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119925n1 39975l1 |
Quadratic twists by: -3 5 |