Atkin-Lehner |
19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
13357d |
Isogeny class |
Conductor |
13357 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
1740697597 = 196 · 37 |
Discriminant |
Eigenvalues |
2 3 -2 -1 -5 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-361,-1715] |
[a1,a2,a3,a4,a6] |
Generators |
[-50958:159173:5832] |
Generators of the group modulo torsion |
j |
110592/37 |
j-invariant |
L |
12.869106677273 |
L(r)(E,1)/r! |
Ω |
1.124774588142 |
Real period |
R |
5.7207492118625 |
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 |
120213l1 37a1 |
Quadratic twists by: -3 -19 |