Atkin-Lehner |
2- 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
118944v |
Isogeny class |
Conductor |
118944 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-10925482176 = -1 · 26 · 310 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,519,2140] |
[a1,a2,a3,a4,a6] |
Generators |
[17:126:1] [71:630:1] |
Generators of the group modulo torsion |
j |
331373888/234171 |
j-invariant |
L |
10.970917998119 |
L(r)(E,1)/r! |
Ω |
0.81098011490866 |
Real period |
R |
3.3819935284702 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999970491 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118944i1 39648f1 |
Quadratic twists by: -4 -3 |