Atkin-Lehner |
2+ 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
24600l |
Isogeny class |
Conductor |
24600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4411616400000000 = 210 · 38 · 58 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41008,82012] |
[a1,a2,a3,a4,a6] |
j |
476672487844/275726025 |
j-invariant |
L |
2.9565231380307 |
L(r)(E,1)/r! |
Ω |
0.36956539225385 |
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 |
49200bi2 73800ch2 4920j2 |
Quadratic twists by: -4 -3 5 |