Atkin-Lehner |
5+ 7+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
68425a |
Isogeny class |
Conductor |
68425 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-7.5238721321161E+20 |
Discriminant |
Eigenvalues |
1 0 5+ 7+ 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1748192,1592027591] |
[a1,a2,a3,a4,a6] |
Generators |
[74:38213:1] |
Generators of the group modulo torsion |
j |
-37815618795619223889/48152781645542875 |
j-invariant |
L |
5.0417218985489 |
L(r)(E,1)/r! |
Ω |
0.14446056474524 |
Real period |
R |
2.1812708490296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982915 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13685d4 |
Quadratic twists by: 5 |