Atkin-Lehner |
2+ 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
102312n |
Isogeny class |
Conductor |
102312 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1900800 |
Modular degree for the optimal curve |
Δ |
-1040988634709538816 = -1 · 211 · 311 · 76 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 2 -4 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2610867,1624514542] |
[a1,a2,a3,a4,a6] |
j |
-11205525764162/5926527 |
j-invariant |
L |
1.6391363809545 |
L(r)(E,1)/r! |
Ω |
0.27318943229962 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34104w1 2088e1 |
Quadratic twists by: -3 -7 |