Atkin-Lehner |
3- 7- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
9471d |
Isogeny class |
Conductor |
9471 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-5525788653 = -1 · 36 · 75 · 11 · 41 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 11- 0 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,266,3185] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:35:1] |
Generators of the group modulo torsion |
j |
2080973621663/5525788653 |
j-invariant |
L |
2.9812727331391 |
L(r)(E,1)/r! |
Ω |
0.94899315038892 |
Real period |
R |
0.10471704430172 |
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 |
28413e1 66297g1 104181m1 |
Quadratic twists by: -3 -7 -11 |