Atkin-Lehner |
3+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
9849j |
Isogeny class |
Conductor |
9849 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
7.6360238486321E+20 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- -4 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6548214,-6313803714] |
[a1,a2,a3,a4,a6] |
Generators |
[4700799006:-105683930345:1481544] |
Generators of the group modulo torsion |
j |
263939304644887918033/6490513177869861 |
j-invariant |
L |
1.693374178238 |
L(r)(E,1)/r! |
Ω |
0.094519156045828 |
Real period |
R |
17.915671796911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29547y3 1407c4 |
Quadratic twists by: -3 -7 |