Atkin-Lehner |
2- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64288m |
Isogeny class |
Conductor |
64288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
279552 |
Modular degree for the optimal curve |
Δ |
2033894106463744 = 29 · 713 · 41 |
Discriminant |
Eigenvalues |
2- 1 1 7- 0 6 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32160,458072] |
[a1,a2,a3,a4,a6] |
Generators |
[9462:153566:27] |
Generators of the group modulo torsion |
j |
61069889672/33765263 |
j-invariant |
L |
9.0472084332006 |
L(r)(E,1)/r! |
Ω |
0.4039276168505 |
Real period |
R |
5.5995233154893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998926 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64288d1 128576s1 9184c1 |
Quadratic twists by: -4 8 -7 |