Atkin-Lehner |
5- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
123725w |
Isogeny class |
Conductor |
123725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
45600 |
Modular degree for the optimal curve |
Δ |
-21651875 = -1 · 54 · 73 · 101 |
Discriminant |
Eigenvalues |
2 0 5- 7- 6 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-175,-919] |
[a1,a2,a3,a4,a6] |
Generators |
[5182296:100267955:13824] |
Generators of the group modulo torsion |
j |
-2764800/101 |
j-invariant |
L |
14.840216531744 |
L(r)(E,1)/r! |
Ω |
0.65490667892375 |
Real period |
R |
11.330023714703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000084565 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123725i1 123725y1 |
Quadratic twists by: 5 -7 |