Atkin-Lehner |
2- 3+ 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
81180d |
Isogeny class |
Conductor |
81180 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
9741600000 = 28 · 33 · 55 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1032,11844] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:110:1] [-12:150:1] |
Generators of the group modulo torsion |
j |
17585676288/1409375 |
j-invariant |
L |
11.666882810691 |
L(r)(E,1)/r! |
Ω |
1.2623665213471 |
Real period |
R |
0.30806908066107 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81180a1 |
Quadratic twists by: -3 |