Atkin-Lehner |
3+ 5+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
58575h |
Isogeny class |
Conductor |
58575 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6624 |
Modular degree for the optimal curve |
Δ |
527175 = 33 · 52 · 11 · 71 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 11- 5 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-23,-34] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:5:1] |
Generators of the group modulo torsion |
j |
53969305/21087 |
j-invariant |
L |
3.7023282423276 |
L(r)(E,1)/r! |
Ω |
2.25345470479 |
Real period |
R |
1.6429565832236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000261 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58575x1 |
Quadratic twists by: 5 |