Atkin-Lehner |
5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
53465b |
Isogeny class |
Conductor |
53465 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39424 |
Modular degree for the optimal curve |
Δ |
22327251325 = 52 · 176 · 37 |
Discriminant |
Eigenvalues |
0 1 5+ 3 5 4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1541,21640] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:144:1] |
Generators of the group modulo torsion |
j |
16777216/925 |
j-invariant |
L |
6.3202732827026 |
L(r)(E,1)/r! |
Ω |
1.1880296031315 |
Real period |
R |
1.3299906976113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000151 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
185b1 |
Quadratic twists by: 17 |