Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640cf |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6760454400000000 = -1 · 214 · 38 · 58 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,38080,-2745600] |
[a1,a2,a3,a4,a6] |
Generators |
[146:2430:1] |
Generators of the group modulo torsion |
j |
1490881681033919/1650501562500 |
j-invariant |
L |
5.0373673777993 |
L(r)(E,1)/r! |
Ω |
0.22732027191022 |
Real period |
R |
2.7699725894821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830bh4 115920dm3 |
Quadratic twists by: -4 -3 |