Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
63525bn |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
12579840 |
Modular degree for the optimal curve |
Δ |
-1.9989476375296E+24 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ 11- -2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,25088342,-47822094281] |
[a1,a2,a3,a4,a6] |
Generators |
[1244794:491275121:8] |
Generators of the group modulo torsion |
j |
63090423356788736/72214645051395 |
j-invariant |
L |
14.640417559254 |
L(r)(E,1)/r! |
Ω |
0.044637634969094 |
Real period |
R |
6.3073792265872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998605 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12705d1 5775t1 |
Quadratic twists by: 5 -11 |