Atkin-Lehner |
2+ 3+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
53958i |
Isogeny class |
Conductor |
53958 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
264960 |
Modular degree for the optimal curve |
Δ |
647005360391622 = 2 · 35 · 17 · 238 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -3 -4 -2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-24080,745602] |
[a1,a2,a3,a4,a6] |
Generators |
[19:534:1] |
Generators of the group modulo torsion |
j |
19719625/8262 |
j-invariant |
L |
2.3276628123082 |
L(r)(E,1)/r! |
Ω |
0.46309773253534 |
Real period |
R |
5.0262885108851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993508 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53958d1 |
Quadratic twists by: -23 |