Atkin-Lehner |
2- 3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
66066cq |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
390 |
Product of Tamagawa factors cp |
deg |
1535040 |
Modular degree for the optimal curve |
Δ |
-4026716450684928 = -1 · 215 · 313 · 72 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 11- 13- -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-512960,141398016] |
[a1,a2,a3,a4,a6] |
Generators |
[400:-704:1] |
Generators of the group modulo torsion |
j |
-123364128986392126921/33278648352768 |
j-invariant |
L |
7.7937835170601 |
L(r)(E,1)/r! |
Ω |
0.42945140287354 |
Real period |
R |
0.046533927161015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998204 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66066bf1 |
Quadratic twists by: -11 |