Atkin-Lehner |
2+ 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
60352c |
Isogeny class |
Conductor |
60352 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3729780637696 = 222 · 232 · 412 |
Discriminant |
Eigenvalues |
2+ 0 2 0 -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4204,-48720] |
[a1,a2,a3,a4,a6] |
j |
31345262577/14227984 |
j-invariant |
L |
2.4753692305652 |
L(r)(E,1)/r! |
Ω |
0.61884230923172 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
60352o2 1886e2 |
Quadratic twists by: -4 8 |