Atkin-Lehner |
3- 7- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
18921g |
Isogeny class |
Conductor |
18921 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-8684739 = -1 · 34 · 7 · 172 · 53 |
Discriminant |
Eigenvalues |
0 3- -1 7- 1 4 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-91,334] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:25:1] |
Generators of the group modulo torsion |
j |
-84258095104/8684739 |
j-invariant |
L |
4.8972038764126 |
L(r)(E,1)/r! |
Ω |
2.2608927601462 |
Real period |
R |
0.27075609040033 |
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 |
56763q1 |
Quadratic twists by: -3 |