Atkin-Lehner |
2+ 3- 5- 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
41610t |
Isogeny class |
Conductor |
41610 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
6817382400 = 216 · 3 · 52 · 19 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2253,-41144] |
[a1,a2,a3,a4,a6] |
j |
1263950777455561/6817382400 |
j-invariant |
L |
2.7728946619943 |
L(r)(E,1)/r! |
Ω |
0.69322366550829 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124830cd1 |
Quadratic twists by: -3 |