Atkin-Lehner |
2- 3- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
64974cd |
Isogeny class |
Conductor |
64974 |
Conductor |
∏ cp |
756 |
Product of Tamagawa factors cp |
deg |
1016064 |
Modular degree for the optimal curve |
Δ |
-34441654229918208 = -1 · 29 · 37 · 77 · 133 · 17 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -2 13- 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,47725,7980321] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:1951:1] |
Generators of the group modulo torsion |
j |
102181603702751/292749230592 |
j-invariant |
L |
7.9149019323977 |
L(r)(E,1)/r! |
Ω |
0.2585603864917 |
Real period |
R |
0.040491303177526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000133 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9282r1 |
Quadratic twists by: -7 |