Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640ct |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-219038722560000 = -1 · 212 · 312 · 54 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7664,-661036] |
[a1,a2,a3,a4,a6] |
Generators |
[140:1782:1] |
Generators of the group modulo torsion |
j |
12152722588271/53476250625 |
j-invariant |
L |
5.8066962220219 |
L(r)(E,1)/r! |
Ω |
0.2831556635402 |
Real period |
R |
1.708923444388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2415a4 115920ew3 |
Quadratic twists by: -4 -3 |