Atkin-Lehner |
2+ 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608f |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-4366656 = -1 · 26 · 33 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 4 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9,100] |
[a1,a2,a3,a4,a6] |
Generators |
[0:10:1] [12:44:1] |
Generators of the group modulo torsion |
j |
46656/2527 |
j-invariant |
L |
9.8951775842924 |
L(r)(E,1)/r! |
Ω |
1.8676273915006 |
Real period |
R |
5.2982611142638 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999706 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608r1 38304a2 76608d1 |
Quadratic twists by: -4 8 -3 |