Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462by |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
124043276358144 = 29 · 33 · 11 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 1 -2 11- 13+ 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-278882,-56614047] |
[a1,a2,a3,a4,a6] |
Generators |
[-303:159:1] |
Generators of the group modulo torsion |
j |
108911345283/5632 |
j-invariant |
L |
9.2338831600166 |
L(r)(E,1)/r! |
Ω |
0.20775232979765 |
Real period |
R |
2.4692551433213 |
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 |
33462d1 33462c1 |
Quadratic twists by: -3 13 |