Atkin-Lehner |
2+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
90160t |
Isogeny class |
Conductor |
90160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
484902118400 = 210 · 52 · 77 · 23 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1976,3940] |
[a1,a2,a3,a4,a6] |
Generators |
[72:-490:1] |
Generators of the group modulo torsion |
j |
7086244/4025 |
j-invariant |
L |
3.6606442578503 |
L(r)(E,1)/r! |
Ω |
0.80173763709901 |
Real period |
R |
0.57073600073357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999911671 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45080u1 12880k1 |
Quadratic twists by: -4 -7 |