Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296bb |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-309050790528816 = -1 · 24 · 32 · 74 · 197 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14681,501536] |
[a1,a2,a3,a4,a6] |
Generators |
[196112:4699695:4096] |
Generators of the group modulo torsion |
j |
464857088/410571 |
j-invariant |
L |
7.1635747901075 |
L(r)(E,1)/r! |
Ω |
0.35463658850547 |
Real period |
R |
10.099881193037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999565705 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60648ba1 6384c1 |
Quadratic twists by: -4 -19 |