Atkin-Lehner |
2+ 3- 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
49560o |
Isogeny class |
Conductor |
49560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-10407600 = -1 · 24 · 32 · 52 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15,-162] |
[a1,a2,a3,a4,a6] |
j |
-24918016/650475 |
j-invariant |
L |
3.9621812222984 |
L(r)(E,1)/r! |
Ω |
0.99054530562176 |
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 |
99120k1 |
Quadratic twists by: -4 |