Atkin-Lehner |
2+ 3- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
15150p |
Isogeny class |
Conductor |
15150 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-2710614820500000000 = -1 · 28 · 312 · 59 · 1012 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -6 -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-21076,-79222702] |
[a1,a2,a3,a4,a6] |
Generators |
[673:14207:1] |
Generators of the group modulo torsion |
j |
-530064380357/1387834788096 |
j-invariant |
L |
3.7740262416807 |
L(r)(E,1)/r! |
Ω |
0.11581960668723 |
Real period |
R |
1.3577242912595 |
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 |
121200cm2 45450cm2 15150bg2 |
Quadratic twists by: -4 -3 5 |