Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
64680cu |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-98477990177674800 = -1 · 24 · 3 · 52 · 714 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,109009,6041034] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:1023:1] |
Generators of the group modulo torsion |
j |
76102438406144/52315569075 |
j-invariant |
L |
7.3144739846184 |
L(r)(E,1)/r! |
Ω |
0.21260655254639 |
Real period |
R |
4.3004753954146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994273 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360h1 9240y1 |
Quadratic twists by: -4 -7 |