Atkin-Lehner |
3- 71- |
Signs for the Atkin-Lehner involutions |
Class |
15123a |
Isogeny class |
Conductor |
15123 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1937260593737283 = 3 · 718 |
Discriminant |
Eigenvalues |
1 3- 2 -2 0 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-73200,-7328777] |
[a1,a2,a3,a4,a6] |
Generators |
[30170995379667618212:-223042239860859972947:90584183436667712] |
Generators of the group modulo torsion |
j |
338608873/15123 |
j-invariant |
L |
7.5168061266299 |
L(r)(E,1)/r! |
Ω |
0.29105204911522 |
Real period |
R |
25.826329515564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45369a2 213a2 |
Quadratic twists by: -3 -71 |