Atkin-Lehner |
2+ 3- 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
56280i |
Isogeny class |
Conductor |
56280 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-5065200 = -1 · 24 · 33 · 52 · 7 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -5 -1 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-176,849] |
[a1,a2,a3,a4,a6] |
Generators |
[4:15:1] |
Generators of the group modulo torsion |
j |
-37897187584/316575 |
j-invariant |
L |
6.5143280920328 |
L(r)(E,1)/r! |
Ω |
2.438196169443 |
Real period |
R |
0.22264848133778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112560e1 |
Quadratic twists by: -4 |