Atkin-Lehner |
2- 3+ 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
91080bf |
Isogeny class |
Conductor |
91080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-497979900000000 = -1 · 28 · 39 · 58 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20223,-1542078] |
[a1,a2,a3,a4,a6] |
Generators |
[1899:82512:1] |
Generators of the group modulo torsion |
j |
-181521971568/98828125 |
j-invariant |
L |
4.1018914658975 |
L(r)(E,1)/r! |
Ω |
0.19521671003031 |
Real period |
R |
5.252997397629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999679318 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91080h1 |
Quadratic twists by: -3 |