Atkin-Lehner |
2+ 3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
19530l |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-6150543840 = -1 · 25 · 311 · 5 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 6 3 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,450,756] |
[a1,a2,a3,a4,a6] |
Generators |
[15:96:1] |
Generators of the group modulo torsion |
j |
13806727199/8436960 |
j-invariant |
L |
3.8658017675104 |
L(r)(E,1)/r! |
Ω |
0.82678634637723 |
Real period |
R |
2.3378480936758 |
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 |
6510bb1 97650en1 |
Quadratic twists by: -3 5 |