Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
19530bu |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
Δ |
-57209473359360 = -1 · 29 · 37 · 5 · 73 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -1 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3937,-352249] |
[a1,a2,a3,a4,a6] |
Generators |
[63:346:1] |
Generators of the group modulo torsion |
j |
9259677062999/78476643840 |
j-invariant |
L |
7.3119472469956 |
L(r)(E,1)/r! |
Ω |
0.31060715773058 |
Real period |
R |
1.3078233433761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
6510j2 97650w2 |
Quadratic twists by: -3 5 |