Atkin-Lehner |
2- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
114400bh |
Isogeny class |
Conductor |
114400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34816 |
Modular degree for the optimal curve |
Δ |
-73216000 = -1 · 212 · 53 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 0 5- 4 11- 13+ 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,40,-400] |
[a1,a2,a3,a4,a6] |
j |
13824/143 |
j-invariant |
L |
3.8297399318228 |
L(r)(E,1)/r! |
Ω |
0.95743473457214 |
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 |
114400bb1 114400s1 |
Quadratic twists by: -4 5 |