Atkin-Lehner |
2+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
37856h |
Isogeny class |
Conductor |
37856 |
Conductor |
∏ cp |
12 |
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 |
[-4056:61516:27] |
Generators of the group modulo torsion |
j |
-13824/343 |
j-invariant |
L |
7.1223312254687 |
L(r)(E,1)/r! |
Ω |
0.33038128283738 |
Real period |
R |
1.7964928189181 |
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 |
37856m1 75712bo1 37856n1 |
Quadratic twists by: -4 8 13 |