Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616bl |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-1827393395915180016 = -1 · 24 · 37 · 715 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 11+ -3 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-732207,-249772943] |
[a1,a2,a3,a4,a6] |
Generators |
[7151144:75177711:6859] |
Generators of the group modulo torsion |
j |
-31636584484096/1331669031 |
j-invariant |
L |
7.2042123925307 |
L(r)(E,1)/r! |
Ω |
0.081403365338208 |
Real period |
R |
5.5312611792632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994793 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38808ch1 25872u1 11088t1 |
Quadratic twists by: -4 -3 -7 |