Atkin-Lehner |
3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
29547k |
Isogeny class |
Conductor |
29547 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-22807184194683 = -1 · 310 · 78 · 67 |
Discriminant |
Eigenvalues |
0 3- -2 7- 0 0 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-12936,611140] |
[a1,a2,a3,a4,a6] |
Generators |
[70:220:1] |
Generators of the group modulo torsion |
j |
-2791309312/265923 |
j-invariant |
L |
3.4827722946657 |
L(r)(E,1)/r! |
Ω |
0.66085828717138 |
Real period |
R |
1.3175185823774 |
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 |
9849c1 4221f1 |
Quadratic twists by: -3 -7 |