Atkin-Lehner |
2+ 3+ 5+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
73530b |
Isogeny class |
Conductor |
73530 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
1047802500 = 22 · 33 · 54 · 192 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -2 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1020,12700] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:140:1] [-12:158:1] |
Generators of the group modulo torsion |
j |
4349105490267/38807500 |
j-invariant |
L |
7.0964533682288 |
L(r)(E,1)/r! |
Ω |
1.5631360192876 |
Real period |
R |
1.1349705464807 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000128 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73530w1 |
Quadratic twists by: -3 |