Atkin-Lehner |
3- 7+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
43911a |
Isogeny class |
Conductor |
43911 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-125868925660149 = -1 · 37 · 75 · 174 · 41 |
Discriminant |
Eigenvalues |
-1 3- -1 7+ 2 1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13073,792150] |
[a1,a2,a3,a4,a6] |
Generators |
[140:1230:1] |
Generators of the group modulo torsion |
j |
-338915024892361/172659705981 |
j-invariant |
L |
2.6379364245926 |
L(r)(E,1)/r! |
Ω |
0.54656751464186 |
Real period |
R |
1.2065922113617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999693 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14637a1 |
Quadratic twists by: -3 |