Atkin-Lehner |
2- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72128bt |
Isogeny class |
Conductor |
72128 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-71823701777408 = -1 · 210 · 78 · 233 |
Discriminant |
Eigenvalues |
2- 3 -4 7- 2 5 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10388,-13720] |
[a1,a2,a3,a4,a6] |
Generators |
[865594233:13856783059:17779581] |
Generators of the group modulo torsion |
j |
1029037824/596183 |
j-invariant |
L |
10.273731449032 |
L(r)(E,1)/r! |
Ω |
0.36564335849397 |
Real period |
R |
14.04884187172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72128ba1 18032i1 10304bi1 |
Quadratic twists by: -4 8 -7 |