Atkin-Lehner |
2+ 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
112800n |
Isogeny class |
Conductor |
112800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
158976 |
Modular degree for the optimal curve |
Δ |
-152686080000 = -1 · 212 · 33 · 54 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 -2 -5 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4333,112837] |
[a1,a2,a3,a4,a6] |
Generators |
[3:316:1] [36:47:1] |
Generators of the group modulo torsion |
j |
-3515200000/59643 |
j-invariant |
L |
8.4759334024231 |
L(r)(E,1)/r! |
Ω |
1.0288210952355 |
Real period |
R |
2.0596227664054 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001418 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112800bg1 112800cd1 |
Quadratic twists by: -4 5 |