Atkin-Lehner |
3+ 5- 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
33915i |
Isogeny class |
Conductor |
33915 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
42336 |
Modular degree for the optimal curve |
Δ |
-64307215035 = -1 · 39 · 5 · 7 · 173 · 19 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7- -3 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,980,2766] |
[a1,a2,a3,a4,a6] |
Generators |
[27:219:1] |
Generators of the group modulo torsion |
j |
103982129229824/64307215035 |
j-invariant |
L |
2.6651053688987 |
L(r)(E,1)/r! |
Ω |
0.68212607991407 |
Real period |
R |
3.9070568438529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101745w1 |
Quadratic twists by: -3 |