Atkin-Lehner |
2- 3+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
63426u |
Isogeny class |
Conductor |
63426 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-3816347941915573482 = -1 · 2 · 38 · 11 · 319 |
Discriminant |
Eigenvalues |
2- 3+ 2 1 11+ -4 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-280632,109921059] |
[a1,a2,a3,a4,a6] |
Generators |
[-1718835374:122387982179:9800344] |
Generators of the group modulo torsion |
j |
-2754008142913/4300092522 |
j-invariant |
L |
10.522648348998 |
L(r)(E,1)/r! |
Ω |
0.22290070705667 |
Real period |
R |
11.801945906724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999856 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2046h1 |
Quadratic twists by: -31 |