Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616q |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-1629936 = -1 · 24 · 33 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 11+ 1 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,21,49] |
[a1,a2,a3,a4,a6] |
Generators |
[0:7:1] [8:27:1] |
Generators of the group modulo torsion |
j |
6912/11 |
j-invariant |
L |
9.2265658193496 |
L(r)(E,1)/r! |
Ω |
1.8175707292265 |
Real period |
R |
1.2690793363729 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999127 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38808o1 77616bb1 77616o1 |
Quadratic twists by: -4 -3 -7 |