Atkin-Lehner |
2- 3- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89670cd |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.1652006720144E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-39222296,-62669780160] |
[a1,a2,a3,a4,a6] |
j |
56719776559071967726321/18403902047738976000 |
j-invariant |
L |
3.9606041538077 |
L(r)(E,1)/r! |
Ω |
0.061884440020773 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1830g4 |
Quadratic twists by: -7 |