Atkin-Lehner |
2- 3+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
72240bt |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8.8274827541331E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2412936,-193867344] |
[a1,a2,a3,a4,a6] |
j |
379316166722917909129/215514715677076935 |
j-invariant |
L |
2.0934772650846 |
L(r)(E,1)/r! |
Ω |
0.13084232924357 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4515f3 |
Quadratic twists by: -4 |