Atkin-Lehner |
2- 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
5046j |
Isogeny class |
Conductor |
5046 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
2640 |
Modular degree for the optimal curve |
Δ |
15501312 = 211 · 32 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -4 -3 -2 -6 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-90,231] |
[a1,a2,a3,a4,a6] |
Generators |
[73:587:1] [-3:23:1] |
Generators of the group modulo torsion |
j |
95930521/18432 |
j-invariant |
L |
4.7471169047055 |
L(r)(E,1)/r! |
Ω |
2.0979544002977 |
Real period |
R |
0.10285163542751 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40368bm1 15138k1 126150ba1 5046g1 |
Quadratic twists by: -4 -3 5 29 |