Atkin-Lehner |
3+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
9849a |
Isogeny class |
Conductor |
9849 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-1158725001 = -1 · 3 · 78 · 67 |
Discriminant |
Eigenvalues |
1 3+ -3 7+ 2 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-564,5181] |
[a1,a2,a3,a4,a6] |
Generators |
[20:39:1] [28:97:1] |
Generators of the group modulo torsion |
j |
-3451273/201 |
j-invariant |
L |
5.4744174930954 |
L(r)(E,1)/r! |
Ω |
1.5213883452557 |
Real period |
R |
1.1994346063727 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29547j1 9849o1 |
Quadratic twists by: -3 -7 |