Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616bk |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-3644980551539712 = -1 · 210 · 36 · 79 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ 6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,37485,-796446] |
[a1,a2,a3,a4,a6] |
Generators |
[43:946:1] |
Generators of the group modulo torsion |
j |
66325500/41503 |
j-invariant |
L |
7.0543094821228 |
L(r)(E,1)/r! |
Ω |
0.2553063171163 |
Real period |
R |
3.4538459342206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990066 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38808cg1 8624e1 11088s1 |
Quadratic twists by: -4 -3 -7 |