Atkin-Lehner |
3+ 5+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
52725a |
Isogeny class |
Conductor |
52725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-264332977294921875 = -1 · 32 · 515 · 19 · 373 |
Discriminant |
Eigenvalues |
0 3+ 5+ -2 -3 -2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,38467,-24578032] |
[a1,a2,a3,a4,a6] |
Generators |
[248:391:1] [412:-7813:1] |
Generators of the group modulo torsion |
j |
402862968406016/16917310546875 |
j-invariant |
L |
6.2352997242796 |
L(r)(E,1)/r! |
Ω |
0.14892018035274 |
Real period |
R |
5.2337598818945 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10545f2 |
Quadratic twists by: 5 |