Atkin-Lehner |
2- 3+ 5- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
17490w |
Isogeny class |
Conductor |
17490 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-2065771895193600 = -1 · 232 · 3 · 52 · 112 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11825,2237135] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:1568:1] |
Generators of the group modulo torsion |
j |
-182864522286982801/2065771895193600 |
j-invariant |
L |
6.7033333046702 |
L(r)(E,1)/r! |
Ω |
0.39542354796788 |
Real period |
R |
2.119035822196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52470c1 87450y1 |
Quadratic twists by: -3 5 |