Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35904cj |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-27574272 = -1 · 214 · 32 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 1 11+ -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,43,243] |
[a1,a2,a3,a4,a6] |
Generators |
[22:111:1] |
Generators of the group modulo torsion |
j |
524288/1683 |
j-invariant |
L |
8.2041185337385 |
L(r)(E,1)/r! |
Ω |
1.4886479509974 |
Real period |
R |
2.7555603486509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35904o1 8976t1 107712fc1 |
Quadratic twists by: -4 8 -3 |