Atkin-Lehner |
2- 3+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
19530bn |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
173549212139520 = 218 · 39 · 5 · 7 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 2 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14312,183979] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:857:1] |
Generators of the group modulo torsion |
j |
16470430613307/8817213440 |
j-invariant |
L |
8.5631343851288 |
L(r)(E,1)/r! |
Ω |
0.49985078857925 |
Real period |
R |
0.95174339809467 |
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 |
19530d1 97650d1 |
Quadratic twists by: -3 5 |