Atkin-Lehner |
2+ 3+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
99264n |
Isogeny class |
Conductor |
99264 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.1567361709259E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11- 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6442089,-6289166871] |
[a1,a2,a3,a4,a6] |
Generators |
[50991007:5021697892:4913] |
Generators of the group modulo torsion |
j |
7218450671538135120832/2824062917299569 |
j-invariant |
L |
4.3460591396213 |
L(r)(E,1)/r! |
Ω |
0.094766112636628 |
Real period |
R |
11.465224779809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001857 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
99264p2 49632c1 |
Quadratic twists by: -4 8 |