Atkin-Lehner |
2- 3- 5+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100050ci |
Isogeny class |
Conductor |
100050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-165851868867187500 = -1 · 22 · 32 · 510 · 23 · 295 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -3 -1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-41518763,-102974412483] |
[a1,a2,a3,a4,a6] |
j |
-810507217811031468025/16983231372 |
j-invariant |
L |
2.9737774376575 |
L(r)(E,1)/r! |
Ω |
0.029737774025663 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100050p1 |
Quadratic twists by: 5 |