Atkin-Lehner |
2- 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
21300d |
Isogeny class |
Conductor |
21300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
-58681290067200 = -1 · 28 · 317 · 52 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 2 0 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3908,381672] |
[a1,a2,a3,a4,a6] |
j |
-1031617090000/9168951573 |
j-invariant |
L |
1.6045787186942 |
L(r)(E,1)/r! |
Ω |
0.53485957289808 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85200dk1 63900p1 21300r1 |
Quadratic twists by: -4 -3 5 |