Atkin-Lehner |
2+ 3+ 5- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17490c |
Isogeny class |
Conductor |
17490 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
25972650000 = 24 · 34 · 55 · 112 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11+ -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3582,80676] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:279:1] [180:-2394:1] |
Generators of the group modulo torsion |
j |
5084987456776681/25972650000 |
j-invariant |
L |
4.4863386987254 |
L(r)(E,1)/r! |
Ω |
1.1967048979473 |
Real period |
R |
0.37489097825381 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52470bd1 87450ch1 |
Quadratic twists by: -3 5 |