Atkin-Lehner |
3- 5+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
52725q |
Isogeny class |
Conductor |
52725 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-225338576484375 = -1 · 34 · 57 · 19 · 374 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,6249,-696227] |
[a1,a2,a3,a4,a6] |
Generators |
[217:3191:1] |
Generators of the group modulo torsion |
j |
1727568035999/14421668895 |
j-invariant |
L |
8.0255912530798 |
L(r)(E,1)/r! |
Ω |
0.27718443470323 |
Real period |
R |
3.6192469021727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10545b4 |
Quadratic twists by: 5 |