Atkin-Lehner |
3+ 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
6699c |
Isogeny class |
Conductor |
6699 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
432 |
Modular degree for the optimal curve |
Δ |
-60291 = -1 · 33 · 7 · 11 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 1 7+ 11- -1 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,0,-12] |
[a1,a2,a3,a4,a6] |
Generators |
[2:0:1] |
Generators of the group modulo torsion |
j |
-1/60291 |
j-invariant |
L |
2.2597748924907 |
L(r)(E,1)/r! |
Ω |
1.6086274908599 |
Real period |
R |
1.4047844546551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107184cr1 20097e1 46893q1 73689l1 |
Quadratic twists by: -4 -3 -7 -11 |