Atkin-Lehner |
2+ 5- 19+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
126160b |
Isogeny class |
Conductor |
126160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39424 |
Modular degree for the optimal curve |
Δ |
-191763200 = -1 · 28 · 52 · 192 · 83 |
Discriminant |
Eigenvalues |
2+ 1 5- -3 -3 0 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-540,4700] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:76:1] [10:20:1] |
Generators of the group modulo torsion |
j |
-68150496976/749075 |
j-invariant |
L |
13.328897604955 |
L(r)(E,1)/r! |
Ω |
1.799630916181 |
Real period |
R |
0.92580772313084 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999978026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63080c1 |
Quadratic twists by: -4 |