Atkin-Lehner |
2+ 3+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
46368a |
Isogeny class |
Conductor |
46368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-4982656315392 = -1 · 212 · 33 · 7 · 235 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 1 2 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15000,-715216] |
[a1,a2,a3,a4,a6] |
Generators |
[1298:8475:8] |
Generators of the group modulo torsion |
j |
-3375000000000/45054401 |
j-invariant |
L |
5.4214644242517 |
L(r)(E,1)/r! |
Ω |
0.21552705332801 |
Real period |
R |
6.2886124276881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46368e1 92736ct1 46368bd1 |
Quadratic twists by: -4 8 -3 |