Atkin-Lehner |
2+ 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
48240b |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4523877734400 = 211 · 39 · 52 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 -4 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29403,1937898] |
[a1,a2,a3,a4,a6] |
Generators |
[129:-540:1] |
Generators of the group modulo torsion |
j |
69739270326/112225 |
j-invariant |
L |
4.8076030562945 |
L(r)(E,1)/r! |
Ω |
0.77405713550445 |
Real period |
R |
0.77636437217634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24120p2 48240e2 |
Quadratic twists by: -4 -3 |