Atkin-Lehner |
2+ 7+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
57722c |
Isogeny class |
Conductor |
57722 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-3465726813513187328 = -1 · 227 · 74 · 192 · 313 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ 0 5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,366739,26770216] |
[a1,a2,a3,a4,a6] |
Generators |
[634:22359:1] |
Generators of the group modulo torsion |
j |
2271980207661812375/1443451400880128 |
j-invariant |
L |
5.3535693093412 |
L(r)(E,1)/r! |
Ω |
0.15572111021383 |
Real period |
R |
1.9099563108807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998443 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57722e2 |
Quadratic twists by: -7 |