Atkin-Lehner |
7+ 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
52577a |
Isogeny class |
Conductor |
52577 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27984 |
Modular degree for the optimal curve |
Δ |
95322101 = 74 · 29 · 372 |
Discriminant |
Eigenvalues |
-2 -2 3 7+ -2 1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-114,-66] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:18:1] |
Generators of the group modulo torsion |
j |
68841472/39701 |
j-invariant |
L |
2.2019543433682 |
L(r)(E,1)/r! |
Ω |
1.5916500073305 |
Real period |
R |
0.69172064627502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997259 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52577h1 |
Quadratic twists by: -7 |