Atkin-Lehner |
5- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
64925n |
Isogeny class |
Conductor |
64925 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
279720 |
Modular degree for the optimal curve |
Δ |
119349395703125 = 58 · 78 · 53 |
Discriminant |
Eigenvalues |
-2 0 5- 7+ 4 -1 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-42875,3376406] |
[a1,a2,a3,a4,a6] |
Generators |
[0:1837:1] |
Generators of the group modulo torsion |
j |
3870720/53 |
j-invariant |
L |
2.7138442408808 |
L(r)(E,1)/r! |
Ω |
0.59128364439825 |
Real period |
R |
0.50997224724441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64925b1 64925q1 |
Quadratic twists by: 5 -7 |