Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
119700cd |
Isogeny class |
Conductor |
119700 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-6841285920000 = -1 · 28 · 38 · 54 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 3 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6375,-232850] |
[a1,a2,a3,a4,a6] |
Generators |
[110:630:1] |
Generators of the group modulo torsion |
j |
-245650000/58653 |
j-invariant |
L |
7.565732434485 |
L(r)(E,1)/r! |
Ω |
0.26381475729292 |
Real period |
R |
1.593233339625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042309 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39900bb1 119700m1 |
Quadratic twists by: -3 5 |