Atkin-Lehner |
2- 3- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
64974ca |
Isogeny class |
Conductor |
64974 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
1794274213036032 = 216 · 34 · 76 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 13- 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-55763,-4645215] |
[a1,a2,a3,a4,a6] |
Generators |
[-146:697:1] |
Generators of the group modulo torsion |
j |
162995025390625/15251079168 |
j-invariant |
L |
12.253508416408 |
L(r)(E,1)/r! |
Ω |
0.31254311929179 |
Real period |
R |
0.61259089448779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996561 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1326d1 |
Quadratic twists by: -7 |