Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
19530by |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
124023312000 = 27 · 36 · 53 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 -1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12983,-565873] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:46:1] |
Generators of the group modulo torsion |
j |
331963239764521/170128000 |
j-invariant |
L |
7.1525433948632 |
L(r)(E,1)/r! |
Ω |
0.44727205252306 |
Real period |
R |
0.76149918734245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2170f1 97650be1 |
Quadratic twists by: -3 5 |