Atkin-Lehner |
2+ 3+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
45120t |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-107399654176849920 = -1 · 217 · 320 · 5 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38625,-16022943] |
[a1,a2,a3,a4,a6] |
Generators |
[1211262:90636859:216] |
Generators of the group modulo torsion |
j |
-48621741154418/819394334235 |
j-invariant |
L |
3.5192217573653 |
L(r)(E,1)/r! |
Ω |
0.1437006512868 |
Real period |
R |
12.244974973536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999712 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45120cy3 5640c4 |
Quadratic twists by: -4 8 |