Atkin-Lehner |
5+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
40535b |
Isogeny class |
Conductor |
40535 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-359051125675 = -1 · 52 · 118 · 67 |
Discriminant |
Eigenvalues |
1 -2 5+ 2 11- 6 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4964,-138063] |
[a1,a2,a3,a4,a6] |
Generators |
[131:1144:1] [2742:48235:8] |
Generators of the group modulo torsion |
j |
-63088729/1675 |
j-invariant |
L |
7.9298591514313 |
L(r)(E,1)/r! |
Ω |
0.28394982786252 |
Real period |
R |
4.6544954855379 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40535d1 |
Quadratic twists by: -11 |