Atkin-Lehner |
2- 5- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83030i |
Isogeny class |
Conductor |
83030 |
Conductor |
∏ cp |
35 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-20757500000 = -1 · 25 · 57 · 192 · 23 |
Discriminant |
Eigenvalues |
2- -3 5- -3 -1 2 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-942,13341] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:67:1] [21:39:1] |
Generators of the group modulo torsion |
j |
-255821432841/57500000 |
j-invariant |
L |
10.181825060741 |
L(r)(E,1)/r! |
Ω |
1.1586007038725 |
Real period |
R |
0.25108675185892 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000445 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83030d1 |
Quadratic twists by: -19 |