Atkin-Lehner |
2- 3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
128772f |
Isogeny class |
Conductor |
128772 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4257792 |
Modular degree for the optimal curve |
Δ |
-283930727855475456 = -1 · 28 · 317 · 76 · 73 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 0 -4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21558432,38527778212] |
[a1,a2,a3,a4,a6] |
j |
-50468394519494656/12931731 |
j-invariant |
L |
2.9552401628611 |
L(r)(E,1)/r! |
Ω |
0.24626993714662 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42924d1 2628b1 |
Quadratic twists by: -3 -7 |