Atkin-Lehner |
2+ 3- 5+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17490l |
Isogeny class |
Conductor |
17490 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-31370297928750 = -1 · 2 · 316 · 54 · 11 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2801,-263128] |
[a1,a2,a3,a4,a6] |
Generators |
[70:491:1] |
Generators of the group modulo torsion |
j |
2431565112569111/31370297928750 |
j-invariant |
L |
3.8404255116005 |
L(r)(E,1)/r! |
Ω |
0.32325628270577 |
Real period |
R |
1.4850544742142 |
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 |
52470bi3 87450bt3 |
Quadratic twists by: -3 5 |