Atkin-Lehner |
2+ 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
91350cw |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
139264 |
Modular degree for the optimal curve |
Δ |
25749738000 = 24 · 37 · 53 · 7 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16497,819661] |
[a1,a2,a3,a4,a6] |
Generators |
[83:-172:1] |
Generators of the group modulo torsion |
j |
5448988635173/282576 |
j-invariant |
L |
5.961781103026 |
L(r)(E,1)/r! |
Ω |
1.1246660204127 |
Real period |
R |
0.66261683314581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014569 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30450cm1 91350fj1 |
Quadratic twists by: -3 5 |