Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
119700cb |
Isogeny class |
Conductor |
119700 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
-1.260578194155E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,888000,433662500] |
[a1,a2,a3,a4,a6] |
Generators |
[-200:15750:1] |
Generators of the group modulo torsion |
j |
212454080512/345837639 |
j-invariant |
L |
8.4065082955618 |
L(r)(E,1)/r! |
Ω |
0.12668580222109 |
Real period |
R |
1.1059524272714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000080328 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39900m1 119700bq1 |
Quadratic twists by: -3 5 |