Atkin-Lehner |
2- 3+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
15900b |
Isogeny class |
Conductor |
15900 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
116064 |
Modular degree for the optimal curve |
Δ |
-7595456808672000 = -1 · 28 · 313 · 53 · 533 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 2 6 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-98213,-12534303] |
[a1,a2,a3,a4,a6] |
j |
-3274048339116032/237358025271 |
j-invariant |
L |
2.4170827239247 |
L(r)(E,1)/r! |
Ω |
0.13428237355137 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63600dt1 47700k1 15900e1 |
Quadratic twists by: -4 -3 5 |