Atkin-Lehner |
2+ 11- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
91234m |
Isogeny class |
Conductor |
91234 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2096640 |
Modular degree for the optimal curve |
Δ |
-6134269807936240256 = -1 · 27 · 1110 · 133 · 292 |
Discriminant |
Eigenvalues |
2+ 1 1 3 11- 13- -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-185133,123028200] |
[a1,a2,a3,a4,a6] |
j |
-396109944105121/3462635386496 |
j-invariant |
L |
2.4508313937206 |
L(r)(E,1)/r! |
Ω |
0.20423595327671 |
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 |
8294f1 |
Quadratic twists by: -11 |