Atkin-Lehner |
2- 3+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
4818b |
Isogeny class |
Conductor |
4818 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-5617576008 = -1 · 23 · 32 · 114 · 732 |
Discriminant |
Eigenvalues |
2- 3+ -4 2 11+ 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,200,3521] |
[a1,a2,a3,a4,a6] |
Generators |
[7:69:1] |
Generators of the group modulo torsion |
j |
884459548799/5617576008 |
j-invariant |
L |
3.960375280108 |
L(r)(E,1)/r! |
Ω |
0.98046289281131 |
Real period |
R |
0.6732152246905 |
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 |
38544r2 14454e2 120450w2 52998c2 |
Quadratic twists by: -4 -3 5 -11 |