Atkin-Lehner |
2- 3+ 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
93840bx |
Isogeny class |
Conductor |
93840 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-35900313847296000 = -1 · 212 · 3 · 53 · 174 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18960,9177600] |
[a1,a2,a3,a4,a6] |
Generators |
[50:-2890:1] |
Generators of the group modulo torsion |
j |
-184035526845841/8764725060375 |
j-invariant |
L |
4.3646291717096 |
L(r)(E,1)/r! |
Ω |
0.3039482907071 |
Real period |
R |
1.1966479452549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002862 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5865h4 |
Quadratic twists by: -4 |