Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
7350bc |
Isogeny class |
Conductor |
7350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-1707698764800000000 = -1 · 216 · 34 · 58 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,257224,-37815802] |
[a1,a2,a3,a4,a6] |
Generators |
[393:10939:1] |
Generators of the group modulo torsion |
j |
1023887723039/928972800 |
j-invariant |
L |
3.5284218689471 |
L(r)(E,1)/r! |
Ω |
0.14567175905553 |
Real period |
R |
3.0277161234131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58800fz1 22050eo1 1470k1 1050c1 |
Quadratic twists by: -4 -3 5 -7 |