Atkin-Lehner |
7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
11011o |
Isogeny class |
Conductor |
11011 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1224 |
Modular degree for the optimal curve |
Δ |
-539539 = -1 · 73 · 112 · 13 |
Discriminant |
Eigenvalues |
0 2 2 7- 11- 13- 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-7,-34] |
[a1,a2,a3,a4,a6] |
j |
-360448/4459 |
j-invariant |
L |
3.7410038783239 |
L(r)(E,1)/r! |
Ω |
1.2470012927746 |
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 |
99099by1 77077k1 11011b1 |
Quadratic twists by: -3 -7 -11 |