Atkin-Lehner |
7+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
66913b |
Isogeny class |
Conductor |
66913 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
70752 |
Modular degree for the optimal curve |
Δ |
-118540461193 = -1 · 7 · 118 · 79 |
Discriminant |
Eigenvalues |
-1 -2 -4 7+ 11- 4 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-305,16666] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:51:1] [10:-126:1] |
Generators of the group modulo torsion |
j |
-14641/553 |
j-invariant |
L |
3.489768075152 |
L(r)(E,1)/r! |
Ω |
0.87303247126349 |
Real period |
R |
1.332431568505 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000079 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66913h1 |
Quadratic twists by: -11 |