Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
119700l |
Isogeny class |
Conductor |
119700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-452362579200 = -1 · 28 · 312 · 52 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 3 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1905,4790] |
[a1,a2,a3,a4,a6] |
Generators |
[31:306:1] |
Generators of the group modulo torsion |
j |
163870640/96957 |
j-invariant |
L |
7.3192898937693 |
L(r)(E,1)/r! |
Ω |
0.57141601859322 |
Real period |
R |
2.1348397557316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000126298 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39900b1 119700cc1 |
Quadratic twists by: -3 5 |