Atkin-Lehner |
2- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
15050x |
Isogeny class |
Conductor |
15050 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-1623569920000000000 = -1 · 218 · 510 · 73 · 432 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 4 -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-71813,-61780469] |
[a1,a2,a3,a4,a6] |
j |
-2621279152968841/103908474880000 |
j-invariant |
L |
6.2914453411528 |
L(r)(E,1)/r! |
Ω |
0.11650824705839 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120400ba1 3010b1 105350cv1 |
Quadratic twists by: -4 5 -7 |