Atkin-Lehner |
2- 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
21300c |
Isogeny class |
Conductor |
21300 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
97200 |
Modular degree for the optimal curve |
Δ |
218358281250000 = 24 · 39 · 510 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -3 4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15833,292662] |
[a1,a2,a3,a4,a6] |
j |
2809446400/1397493 |
j-invariant |
L |
1.9871861823807 |
L(r)(E,1)/r! |
Ω |
0.49679654559518 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85200dj1 63900m1 21300q1 |
Quadratic twists by: -4 -3 5 |