Atkin-Lehner |
2+ 3- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
99264y |
Isogeny class |
Conductor |
99264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
2113926144 = 210 · 3 · 114 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-349,-1309] |
[a1,a2,a3,a4,a6] |
j |
4604090368/2064381 |
j-invariant |
L |
2.3030684894705 |
L(r)(E,1)/r! |
Ω |
1.1515343230416 |
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 |
99264bf1 12408c1 |
Quadratic twists by: -4 8 |