Atkin-Lehner |
3- 5- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
100485be |
Isogeny class |
Conductor |
100485 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-21935373075 = -1 · 36 · 52 · 73 · 112 · 29 |
Discriminant |
Eigenvalues |
2 3- 5- 7- 11- -6 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1497,-23405] |
[a1,a2,a3,a4,a6] |
j |
-508934139904/30089675 |
j-invariant |
L |
4.5894363294741 |
L(r)(E,1)/r! |
Ω |
0.38245304084631 |
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 |
11165c1 |
Quadratic twists by: -3 |