Atkin-Lehner |
2+ 3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
64386m |
Isogeny class |
Conductor |
64386 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
16021297152 = 211 · 37 · 72 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2277,-40811] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:17:1] |
Generators of the group modulo torsion |
j |
36559182625/448512 |
j-invariant |
L |
4.3921438202611 |
L(r)(E,1)/r! |
Ω |
0.69162717199732 |
Real period |
R |
1.5876125165782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999704 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21462w1 64386l1 |
Quadratic twists by: -3 -7 |