Atkin-Lehner |
2- 3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
19530bj |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
209986560 = 210 · 33 · 5 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-443,3627] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:90:1] |
Generators of the group modulo torsion |
j |
355346240787/7777280 |
j-invariant |
L |
7.0613305802035 |
L(r)(E,1)/r! |
Ω |
1.7770103760897 |
Real period |
R |
0.3973713758353 |
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 |
19530f1 97650b1 |
Quadratic twists by: -3 5 |