Atkin-Lehner |
2+ 11+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
68816b |
Isogeny class |
Conductor |
68816 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-99668390344688 = -1 · 24 · 116 · 172 · 233 |
Discriminant |
Eigenvalues |
2+ -1 -2 2 11+ 5 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2716,476323] |
[a1,a2,a3,a4,a6] |
j |
138430922885888/6229274396543 |
j-invariant |
L |
1.8151689480308 |
L(r)(E,1)/r! |
Ω |
0.45379223688455 |
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 |
34408f1 |
Quadratic twists by: -4 |