Atkin-Lehner |
3- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63945v |
Isogeny class |
Conductor |
63945 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-10925158997575305 = -1 · 322 · 5 · 74 · 29 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ -5 -4 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-191844,-32682987] |
[a1,a2,a3,a4,a6] |
Generators |
[832551979162720116:2535081195590193729:1625093947331009] |
Generators of the group modulo torsion |
j |
-446118219434209/6241774545 |
j-invariant |
L |
6.5852605777694 |
L(r)(E,1)/r! |
Ω |
0.11396487107372 |
Real period |
R |
28.89162474246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21315m1 63945n1 |
Quadratic twists by: -3 -7 |