Atkin-Lehner |
2+ 3+ 5- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
17490d |
Isogeny class |
Conductor |
17490 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2816 |
Modular degree for the optimal curve |
Δ |
1154340 = 22 · 32 · 5 · 112 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11+ 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-27,9] |
[a1,a2,a3,a4,a6] |
Generators |
[0:3:1] |
Generators of the group modulo torsion |
j |
2305199161/1154340 |
j-invariant |
L |
3.717898008356 |
L(r)(E,1)/r! |
Ω |
2.4292733591732 |
Real period |
R |
0.76522841579702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52470y1 87450cf1 |
Quadratic twists by: -3 5 |