Atkin-Lehner |
2- 3+ 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
77910bz |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
468254682000 = 24 · 35 · 53 · 73 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3935,-90763] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:56:1] |
Generators of the group modulo torsion |
j |
19645844404087/1365174000 |
j-invariant |
L |
8.3593407113947 |
L(r)(E,1)/r! |
Ω |
0.60542296234728 |
Real period |
R |
1.1506199288235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001513 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77910ch1 |
Quadratic twists by: -7 |