Atkin-Lehner |
2+ 3+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
33744a |
Isogeny class |
Conductor |
33744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
9446160384 = 211 · 38 · 19 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -4 3 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-103312,12815776] |
[a1,a2,a3,a4,a6] |
Generators |
[172:324:1] |
Generators of the group modulo torsion |
j |
59545681581839906/4612383 |
j-invariant |
L |
2.5524446744044 |
L(r)(E,1)/r! |
Ω |
0.98670702074256 |
Real period |
R |
0.32335392126879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16872d1 101232c1 |
Quadratic twists by: -4 -3 |