Atkin-Lehner |
7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
11011s |
Isogeny class |
Conductor |
11011 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-19526164829171 = -1 · 72 · 119 · 132 |
Discriminant |
Eigenvalues |
2 -3 -3 7- 11- 13- 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-24079,-1453785] |
[a1,a2,a3,a4,a6] |
j |
-871531204608/11022011 |
j-invariant |
L |
1.5318738307524 |
L(r)(E,1)/r! |
Ω |
0.19148422884405 |
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 |
99099cg1 77077t1 1001c1 |
Quadratic twists by: -3 -7 -11 |