Atkin-Lehner |
2+ 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
30150bb |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29568 |
Modular degree for the optimal curve |
Δ |
7502284800 = 211 · 37 · 52 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 2 1 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3987,-95819] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:23:1] |
Generators of the group modulo torsion |
j |
384641511385/411648 |
j-invariant |
L |
3.0632401192345 |
L(r)(E,1)/r! |
Ω |
0.60084270969629 |
Real period |
R |
1.2745599096903 |
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 |
10050x1 30150ct1 |
Quadratic twists by: -3 5 |