Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616w |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-3606349824 = -1 · 211 · 33 · 72 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 11- -6 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1323,18746] |
[a1,a2,a3,a4,a6] |
Generators |
[1:-132:1] |
Generators of the group modulo torsion |
j |
-94517766/1331 |
j-invariant |
L |
4.4812378695651 |
L(r)(E,1)/r! |
Ω |
1.4074939451069 |
Real period |
R |
0.13266006948033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38808bo1 77616i1 77616c1 |
Quadratic twists by: -4 -3 -7 |