Atkin-Lehner |
2- 7+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99946i |
Isogeny class |
Conductor |
99946 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
224126318797304 = 23 · 7 · 117 · 593 |
Discriminant |
Eigenvalues |
2- -2 -3 7+ 11- -5 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-617042,186507916] |
[a1,a2,a3,a4,a6] |
Generators |
[450:-104:1] |
Generators of the group modulo torsion |
j |
14666004814725433/126513464 |
j-invariant |
L |
4.184009050519 |
L(r)(E,1)/r! |
Ω |
0.5034040583343 |
Real period |
R |
0.692619407272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010748 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9086c2 |
Quadratic twists by: -11 |