Atkin-Lehner |
2- 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127600v |
Isogeny class |
Conductor |
127600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-12351680000000 = -1 · 212 · 57 · 113 · 29 |
Discriminant |
Eigenvalues |
2- -3 5+ 4 11+ 1 8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-53200,4726000] |
[a1,a2,a3,a4,a6] |
j |
-260182831104/192995 |
j-invariant |
L |
1.412300177781 |
L(r)(E,1)/r! |
Ω |
0.70614948713017 |
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 |
7975d1 25520j1 |
Quadratic twists by: -4 5 |