Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69600q |
Isogeny class |
Conductor |
69600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-108993600000000 = -1 · 212 · 34 · 58 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5967,-467937] |
[a1,a2,a3,a4,a6] |
j |
367061696/1703025 |
j-invariant |
L |
4.7934072978702 |
L(r)(E,1)/r! |
Ω |
0.29958795588612 |
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 |
69600d2 13920q2 |
Quadratic twists by: -4 5 |