Atkin-Lehner |
3- 5+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
52725q |
Isogeny class |
Conductor |
52725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
164765625 = 3 · 57 · 19 · 37 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5501,-157477] |
[a1,a2,a3,a4,a6] |
Generators |
[21257071:-2696992929:1331] |
Generators of the group modulo torsion |
j |
1177918188481/10545 |
j-invariant |
L |
8.0255912530798 |
L(r)(E,1)/r! |
Ω |
0.55436886940647 |
Real period |
R |
14.476987608691 |
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 |
10545b1 |
Quadratic twists by: 5 |