Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
63525r |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
15825714261328125 = 33 · 58 · 7 · 118 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9223830063,340965280222656] |
[a1,a2,a3,a4,a6] |
Generators |
[1380513641940:-689760358189:24897088] |
Generators of the group modulo torsion |
j |
3135316978843283198764801/571725 |
j-invariant |
L |
2.7474854057439 |
L(r)(E,1)/r! |
Ω |
0.10579280879283 |
Real period |
R |
12.98521816785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000781 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12705m5 5775c5 |
Quadratic twists by: 5 -11 |