Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72128ba |
Isogeny class |
Conductor |
72128 |
Conductor |
∏ cp |
6 |
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 |
[77:1127:1] |
Generators of the group modulo torsion |
j |
1029037824/596183 |
j-invariant |
L |
2.1781329775459 |
L(r)(E,1)/r! |
Ω |
0.3689044405389 |
Real period |
R |
0.98405474032877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999985777 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72128bt1 9016o1 10304g1 |
Quadratic twists by: -4 8 -7 |