Atkin-Lehner |
2- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
15376s |
Isogeny class |
Conductor |
15376 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
13973766757433344 = 214 · 318 |
Discriminant |
Eigenvalues |
2- -3 1 3 3 5 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1173676027,15476418482218] |
[a1,a2,a3,a4,a6] |
j |
51181724570498001/4 |
j-invariant |
L |
1.8270300993362 |
L(r)(E,1)/r! |
Ω |
0.15225250827801 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1922c2 61504bj2 15376z2 |
Quadratic twists by: -4 8 -31 |