Atkin-Lehner |
2- 3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
30360bd |
Isogeny class |
Conductor |
30360 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
6762690000 = 24 · 35 · 54 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- -6 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1771,27830] |
[a1,a2,a3,a4,a6] |
Generators |
[11:99:1] |
Generators of the group modulo torsion |
j |
38415334180864/422668125 |
j-invariant |
L |
6.5769094465532 |
L(r)(E,1)/r! |
Ω |
1.3371683634526 |
Real period |
R |
0.49185350374066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60720c1 91080r1 |
Quadratic twists by: -4 -3 |