Atkin-Lehner |
2- 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55506bg |
Isogeny class |
Conductor |
55506 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-50093640801336 = -1 · 23 · 3 · 112 · 297 |
Discriminant |
Eigenvalues |
2- 3- 1 3 11- -4 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6325,391193] |
[a1,a2,a3,a4,a6] |
j |
-47045881/84216 |
j-invariant |
L |
6.7955494156011 |
L(r)(E,1)/r! |
Ω |
0.56629578462722 |
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 |
1914a1 |
Quadratic twists by: 29 |