Atkin-Lehner |
2+ 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38976c |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
31008452493312 = 214 · 38 · 73 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 2 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10449,-308367] |
[a1,a2,a3,a4,a6] |
Generators |
[383:7192:1] |
Generators of the group modulo torsion |
j |
7701397204048/1892605743 |
j-invariant |
L |
3.5641511365437 |
L(r)(E,1)/r! |
Ω |
0.48067787019785 |
Real period |
R |
3.7074217033077 |
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 |
38976bv2 2436c2 116928bj2 |
Quadratic twists by: -4 8 -3 |