Atkin-Lehner |
3+ 23+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
5727b |
Isogeny class |
Conductor |
5727 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
154629 = 34 · 23 · 83 |
Discriminant |
Eigenvalues |
-2 3+ -3 0 -2 -4 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-652,6630] |
[a1,a2,a3,a4,a6] |
Generators |
[6530:-41971:125] [3:68:1] |
Generators of the group modulo torsion |
j |
30699579363328/154629 |
j-invariant |
L |
2.1042550922822 |
L(r)(E,1)/r! |
Ω |
2.8726529554623 |
Real period |
R |
0.36625640564802 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999934 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91632w1 17181f1 |
Quadratic twists by: -4 -3 |