Atkin-Lehner |
2- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
60760s |
Isogeny class |
Conductor |
60760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
38940633851033600 = 211 · 52 · 77 · 314 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-381563,90220662] |
[a1,a2,a3,a4,a6] |
j |
25497892389762/161616175 |
j-invariant |
L |
2.9272895900083 |
L(r)(E,1)/r! |
Ω |
0.3659111986538 |
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 |
121520c3 8680o3 |
Quadratic twists by: -4 -7 |