Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
68208br |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-2117725708414353408 = -1 · 222 · 36 · 77 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-159168,-74105856] |
[a1,a2,a3,a4,a6] |
j |
-925434168625/4394621952 |
j-invariant |
L |
3.4613189602726 |
L(r)(E,1)/r! |
Ω |
0.1081662171827 |
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 |
8526ba1 9744u1 |
Quadratic twists by: -4 -7 |