Atkin-Lehner |
3- 11+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
37323d |
Isogeny class |
Conductor |
37323 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-429679134027 = -1 · 36 · 11 · 133 · 293 |
Discriminant |
Eigenvalues |
-1 3- 2 -5 11+ 13+ -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6089,-184044] |
[a1,a2,a3,a4,a6] |
Generators |
[98:342:1] |
Generators of the group modulo torsion |
j |
-34242639807817/589408963 |
j-invariant |
L |
2.6223507454435 |
L(r)(E,1)/r! |
Ω |
0.26995720495061 |
Real period |
R |
1.6189916385217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4147c1 |
Quadratic twists by: -3 |