Atkin-Lehner |
2- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
101920bc |
Isogeny class |
Conductor |
101920 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-11023667200 = -1 · 212 · 52 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -3 13- -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,532,1792] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:13:1] [16:120:1] |
Generators of the group modulo torsion |
j |
82966464/54925 |
j-invariant |
L |
10.138276127399 |
L(r)(E,1)/r! |
Ω |
0.8017276291455 |
Real period |
R |
1.0537947217728 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000674 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101920bb1 101920bj1 |
Quadratic twists by: -4 -7 |