Atkin-Lehner |
2+ 3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
62328j |
Isogeny class |
Conductor |
62328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49728 |
Modular degree for the optimal curve |
Δ |
-77061341952 = -1 · 28 · 37 · 72 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 -1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2977,64933] |
[a1,a2,a3,a4,a6] |
Generators |
[21:106:1] |
Generators of the group modulo torsion |
j |
-232685888512/6143283 |
j-invariant |
L |
6.0880586302263 |
L(r)(E,1)/r! |
Ω |
1.0846954471257 |
Real period |
R |
0.70158617403395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000049 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124656bi1 62328q1 |
Quadratic twists by: -4 -7 |