Atkin-Lehner |
2+ 3- 5- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
108150bv |
Isogeny class |
Conductor |
108150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
528000 |
Modular degree for the optimal curve |
Δ |
-324585187500000 = -1 · 25 · 3 · 59 · 75 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 4 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,17049,132298] |
[a1,a2,a3,a4,a6] |
Generators |
[363382:17228351:29791] |
Generators of the group modulo torsion |
j |
280625429323/166187616 |
j-invariant |
L |
6.2104786898202 |
L(r)(E,1)/r! |
Ω |
0.33047597949724 |
Real period |
R |
9.3962633638272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019758 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108150ch1 |
Quadratic twists by: 5 |