Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
40950bf |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
81517363200000000 = 220 · 37 · 58 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-108792,1463616] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:3543:1] |
Generators of the group modulo torsion |
j |
12501706118329/7156531200 |
j-invariant |
L |
3.8062311616255 |
L(r)(E,1)/r! |
Ω |
0.29294526281468 |
Real period |
R |
3.2482443350123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650cp1 8190bs1 |
Quadratic twists by: -3 5 |