Atkin-Lehner |
3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
6321c |
Isogeny class |
Conductor |
6321 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
-96036286963530627 = -1 · 318 · 78 · 43 |
Discriminant |
Eigenvalues |
0 3+ 0 7- -3 -5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2123,14910692] |
[a1,a2,a3,a4,a6] |
Generators |
[1780:482171:125] |
Generators of the group modulo torsion |
j |
-8998912000/816294970323 |
j-invariant |
L |
2.4727877567106 |
L(r)(E,1)/r! |
Ω |
0.26909393013875 |
Real period |
R |
2.2973276983947 |
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 |
101136ci1 18963k1 903b1 |
Quadratic twists by: -4 -3 -7 |