Atkin-Lehner |
2- 3+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
33744j |
Isogeny class |
Conductor |
33744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-539364096 = -1 · 28 · 34 · 19 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 3 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-685,-6767] |
[a1,a2,a3,a4,a6] |
Generators |
[33:74:1] |
Generators of the group modulo torsion |
j |
-139055865856/2106891 |
j-invariant |
L |
5.1047217036002 |
L(r)(E,1)/r! |
Ω |
0.4661256670224 |
Real period |
R |
1.3689231426069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8436b1 101232bh1 |
Quadratic twists by: -4 -3 |