Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640cg |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
7222598630114918400 = 216 · 38 · 52 · 74 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-223957440,1290094387200] |
[a1,a2,a3,a4,a6] |
Generators |
[2965886:352274:343] |
Generators of the group modulo torsion |
j |
303291507481995500913332161/1763329743680400 |
j-invariant |
L |
5.5830706959446 |
L(r)(E,1)/r! |
Ω |
0.16068947730363 |
Real period |
R |
8.6861174571421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
4830bi3 115920dn4 |
Quadratic twists by: -4 -3 |