Atkin-Lehner |
3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
18963h |
Isogeny class |
Conductor |
18963 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
99574466481 = 39 · 76 · 43 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10814,-429852] |
[a1,a2,a3,a4,a6] |
Generators |
[63180:1354876:125] |
Generators of the group modulo torsion |
j |
1630532233/1161 |
j-invariant |
L |
3.5630322541489 |
L(r)(E,1)/r! |
Ω |
0.46819272738095 |
Real period |
R |
7.6101828280852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6321a1 387d1 |
Quadratic twists by: -3 -7 |