Atkin-Lehner |
2+ 3- 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
19530v |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5148005194080 = 25 · 314 · 5 · 7 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 0 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-53289,-4720275] |
[a1,a2,a3,a4,a6] |
Generators |
[289:1844:1] |
Generators of the group modulo torsion |
j |
22956912537341329/7061735520 |
j-invariant |
L |
3.7990757023575 |
L(r)(E,1)/r! |
Ω |
0.31423010977997 |
Real period |
R |
6.0450535835309 |
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 |
6510u2 97650dx2 |
Quadratic twists by: -3 5 |