Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600n |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1244996380848000000 = 210 · 3 · 56 · 1110 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11- 6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-315608,42241212] |
[a1,a2,a3,a4,a6] |
j |
122657188/43923 |
j-invariant |
L |
3.9987444779213 |
L(r)(E,1)/r! |
Ω |
0.24992152820283 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2904n4 6600v3 |
Quadratic twists by: 5 -11 |