Atkin-Lehner |
2- 3+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
62328ba |
Isogeny class |
Conductor |
62328 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
199584 |
Modular degree for the optimal curve |
Δ |
-96221354214384 = -1 · 24 · 39 · 78 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 2 -7 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10404,-620703] |
[a1,a2,a3,a4,a6] |
Generators |
[112128556:2566300157:205379] |
Generators of the group modulo torsion |
j |
-1350399232/1043199 |
j-invariant |
L |
6.5057546490315 |
L(r)(E,1)/r! |
Ω |
0.22872832739768 |
Real period |
R |
14.22157614401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000423 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124656x1 62328br1 |
Quadratic twists by: -4 -7 |