Atkin-Lehner |
2- 3+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
35904bt |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
163844412407808 = 234 · 3 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11+ 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18177,-708447] |
[a1,a2,a3,a4,a6] |
Generators |
[10052:34255:64] |
Generators of the group modulo torsion |
j |
2533811507137/625016832 |
j-invariant |
L |
5.6884460469532 |
L(r)(E,1)/r! |
Ω |
0.4185809642748 |
Real period |
R |
6.7949172710329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35904bm1 8976bf1 107712eo1 |
Quadratic twists by: -4 8 -3 |