Atkin-Lehner |
3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4263d |
Isogeny class |
Conductor |
4263 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1008 |
Modular degree for the optimal curve |
Δ |
1035909 = 36 · 72 · 29 |
Discriminant |
Eigenvalues |
-2 3- 1 7- 2 -7 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-30,-52] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:4:1] |
Generators of the group modulo torsion |
j |
62992384/21141 |
j-invariant |
L |
2.380613688971 |
L(r)(E,1)/r! |
Ω |
2.0893570655619 |
Real period |
R |
0.18990001982027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68208bh1 12789p1 106575h1 4263a1 |
Quadratic twists by: -4 -3 5 -7 |