Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200gg |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
1471841280000000 = 216 · 35 · 57 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11978408,15952843188] |
[a1,a2,a3,a4,a6] |
Generators |
[2023:1950:1] |
Generators of the group modulo torsion |
j |
2969894891179808929/22997520 |
j-invariant |
L |
8.5537438231799 |
L(r)(E,1)/r! |
Ω |
0.33043884264922 |
Real period |
R |
1.29430059607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003587 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650b1 21840w1 |
Quadratic twists by: -4 5 |