Atkin-Lehner |
2- 3- 5- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
70110bj |
Isogeny class |
Conductor |
70110 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
3884374440000 = 26 · 38 · 54 · 192 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24377,1467929] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:1756:1] |
Generators of the group modulo torsion |
j |
2197456331590729/5328360000 |
j-invariant |
L |
12.027632245356 |
L(r)(E,1)/r! |
Ω |
0.78626567879528 |
Real period |
R |
0.63738168544747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999293 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23370c1 |
Quadratic twists by: -3 |