Atkin-Lehner |
2- 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38976be |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
141980813199654912 = 214 · 36 · 75 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 2 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-328273,-69977711] |
[a1,a2,a3,a4,a6] |
Generators |
[-335:1512:1] |
Generators of the group modulo torsion |
j |
238786949809042000/8665821118143 |
j-invariant |
L |
4.5784141418259 |
L(r)(E,1)/r! |
Ω |
0.19989817028799 |
Real period |
R |
1.1451866055674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38976l2 9744t2 116928em2 |
Quadratic twists by: -4 8 -3 |