Atkin-Lehner |
2- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
37856m |
Isogeny class |
Conductor |
37856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
-14898558095110144 = -1 · 212 · 73 · 139 |
Discriminant |
Eigenvalues |
2- 0 3 7+ 2 13- 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17576,-5940688] |
[a1,a2,a3,a4,a6] |
Generators |
[174218044:2991074892:456533] |
Generators of the group modulo torsion |
j |
-13824/343 |
j-invariant |
L |
6.8539962396208 |
L(r)(E,1)/r! |
Ω |
0.17079065172789 |
Real period |
R |
10.032745016015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37856h1 75712u1 37856i1 |
Quadratic twists by: -4 8 13 |